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Raw Queries and Responses

1. Shard Calculation

Query:

Response:

Calculated Shard: 184 (from laksa138)

2. Crawled Status Check

Query:

curl -X POST \
  'http://laksa184.int.ahrefs:8124/' \
  -H 'Content-Type: text/plain' \
  -H 'X-ClickHouse-Database: crawler3' \
  -H 'Authorization: Basic YXBpOg==' \
  -d 'SELECT getAhrefsURLFromUnparsed(src_unparsed) AS found_url, ifNull(toUnixTimestamp(download_stamp), 0) AS crawl_time, ifNull(toUnixTimestamp(props_url_first_seen), 0) AS first_indexed_time, download_http_code AS http_code, src_unparsed AS src_unparsed, src_root_hash AS src_root_hash, history_drop_reason AS history_drop_reason, meta_title AS meta_title, meta_descriptions AS meta_descriptions, attrs_boilerpipe_text AS attrs_boilerpipe_text, attrs_markdown AS attrs_markdown, attrs_readable_markdown AS attrs_readable_markdown, meta_canonical AS meta_canonical FROM crawler3.page_info_local FINAL PREWHERE (src_root_hash, src_unparsed) IN ((getAhrefsRootHashFromUnparsed(getAhrefsUnparsedNoserviceFromURL(\'https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/\')), getAhrefsUnparsedNoserviceFromURL(\'https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/\'))) FORMAT JSONEachRow'

Response:

{"found_url":"https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/","crawl_time":1774087577,"first_indexed_time":1754474846,"http_code":200,"src_unparsed":"com,wolfram!www,\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/ s443","src_root_hash":"3744487911316863784","history_drop_reason":null,"meta_title":"Sequences, Sums, Series | Mathematica & Wolfram Language for Math Students—Fast Intro","meta_descriptions":["How to build integer sequences and recursive sequences with lists. Calculate totals, sums, power series approximations. Tutorial for Mathematica & Wolfram Language."],"attrs_boilerpipe_text":"홈\n입력\n분수와 소수\n변수와 함수\n대수\n2D 플롯\n기하\n삼각법\n극좌표\n지수 함수와 로그\n극한\n도함수\n적분\n수열, 합 & 급수\n다양한 2D 플롯\n3D 플롯\n다변량 미적분\n벡터 분석 및 시각화\n미분방정식\n복소해석학\n행렬과 선형 대수\n이산 수학\n확률\n통계\n데이터 플롯 & 최적합 곡선\n군론\n수학 퍼즐\n인터랙티브 모델\n수학 유형 세트\n노트북 문서\n클라우드 배포\n사용 해보기\n사용 해보기 »\n수열, 합 & 급수\nWolfram 언어에서 정수열은 목록으로 표시됩니다.\nTable\n을 사용하여 간단한 수열을 정의합니다.\nIn[1]:=\n⨯\nTable[x^2, {x, 1, 7}]\nOut[1]=\n잘 알려진 몇 가지 수열은 내장되어 있습니다.\nIn[2]:=\n⨯\nTable[Fibonacci[x], {x, 1, 7}]\nOut[2]=\nRecurrenceTable\n을 사용하여 귀납적 수열을 정의합니다.\n({\nx\n,\nmin\n,\nmax\n} 등과 같은 표기를 사용합니다.)\nIn[1]:=\n⨯\nRecurrenceTable[{a[x] == 2 a[x - 1], a[1] == 1}, a, {x, 1, 8}]\nOut[1]=\n수열의\nTotal\n을 계산합니다.\nIn[2]:=\n⨯\nTotal[%]\nOut[2]=\n수열의\nSum\n(합)을 그 생성 함수에서 계산합니다.\nIn[1]:=\n⨯\nSum[i (i + 1), {i, 1, 10}]\nOut[1]=\nESC\nsumt\nESC\n을 사용하여 기입 가능한 유형 세트 형식을 표시합니다.\nIn[2]:=\n⨯\n\\!\\(\n\\*UnderoverscriptBox[\\(\\[Sum]\\), \\(i = 1\\), \\(10\\)]\\(i \\((i + 1)\\)\\)\\)\nOut[2]=\n무한한 다수 합을 구할 수 있습니다.\nIn[3]:=\n⨯\n\\!\\(\n\\*UnderoverscriptBox[\\(\\[Sum]\\), \\(i = 1\\), \\(n\\)]\\(\n\\*UnderoverscriptBox[\\(\\[Sum]\\), \\(j = 1\\), \\(n\\)]i\\ j\\)\\)\nOut[3]=\n수열의\n생성 함수\n를 계산합니다.\nIn[1]:=\n⨯\nFindSequenceFunction[{2, 4, 6, 8}, n]\nOut[1]=\n사실상 모든 조합의 내장 함수에 대한\n거듭 제곱 급수\n의 근사값을 생성할 수 있습니다.\nIn[1]:=\n⨯\nSeries[Exp[x^2], {x, 0, 8}]\nOut[1]=\nO[x]\n9\n는 삭제된 고차항을 나타내며,\nNormal\n을 사용하여 주어진 항을 절개합니다.\nIn[2]:=\n⨯\nNormal[%]\nOut[2]=\n미지의 혹은 미정의 함수가 주어질 경우,\nSeries\n는 도함수에 대한 거듭 제곱 급수를 반환합니다.\nIn[3]:=\n⨯\nSeries[2 f[x] - 3, {x, 0, 3}]\nOut[3]=\n수렴하는 급수는 자동으로 단순화될 수 있습니다.\nIn[1]:=\n⨯\n\\!\\(\n\\*UnderoverscriptBox[\\(\\[Sum]\\), \\(n = 0\\), \\(\\[Infinity]\\)]\n\\*SuperscriptBox[\\(0.5\\), \\(n\\)]\\)\nOut[1]=\n참고 사항:\n정수열\n»\n참고 사항:\n급수 전개\n»\nNext Section","attrs_markdown":"#\n[제품](https:\/\/www.wolfram.com\/products\/?source=nav)\n\n- [Wolfram\\|One](https:\/\/www.wolfram.com\/wolfram-one\/?source=nav)\n- [Mathematica](https:\/\/www.wolfram.com\/mathematica\/?source=nav)\n- [Notebook Assistant + LLM Kit](https:\/\/www.wolfram.com\/notebook-assistant-llm-kit\/?source=nav)\n- [Compute Services](https:\/\/www.wolfram.com\/compute-services\/?source=nav)\n- [System Modeler](https:\/\/www.wolfram.com\/system-modeler\/?source=nav)\n- [모든 제품 보기](https:\/\/www.wolfram.com\/products\/?source=nav)\n\n[컨설팅 및 솔루션](https:\/\/www.wolfram.com\/solutions\/?source=nav)\n\n- [Wolfram Consulting](https:\/\/consulting.wolfram.com\/?source=nav)\n- [산업 솔루션](https:\/\/www.wolfram.com\/solutions\/?source=nav)\n- [교육 솔루션](https:\/\/www.wolfram.com\/education\/?source=nav)\n\n[학습 및 지원](https:\/\/www.wolfram.com\/resources\/?source=nav)\n\n- [Wolfram U 코스](https:\/\/www.wolfram.com\/wolfram-u\/?source=nav)\n- [Wolfram 언어 리소스](https:\/\/www.wolfram.com\/language\/?source=nav#learning-resources)\n- [Wolfram 커뮤니티](https:\/\/community.wolfram.com\/?source=nav)\n- [자주 묻는 질문](https:\/\/support.wolfram.com\/?source=nav)\n- [지원팀에 문의하기](https:\/\/www.wolfram.com\/support\/contact\/?source=nav)\n\n[회사](https:\/\/www.wolfram.com\/company\/?source=nav)\n\n- [회사 소개](https:\/\/www.wolfram.com\/company\/?source=nav)\n- [채용 정보](https:\/\/www.wolfram.com\/company\/careers\/?source=nav)\n- [이벤트](https:\/\/events.wolfram.com\/?source=nav)\n- [교육 프로그램](https:\/\/education.wolfram.com\/programs\/?source=nav)\n- [모든 사이트 및 리소스](https:\/\/www.wolfram.com\/resources\/?source=nav#mobile-apps)\n\n[Wolfram\\|Alpha](https:\/\/www.wolframalpha.com\/?source=nav)\n\n- [계정](https:\/\/account.wolfram.com\/?source=nav)\n- [사용자 포털](https:\/\/user.wolfram.com\/?source=nav)\n\nWolfram 웹 사이트의 내용과 상호 작용하고 양식을 제출하려면 JavaScript를 활성화하세요. [방법 보기](http:\/\/www.enable-javascript.com\/)\n\n[![Wolfram Language Fast Introduction for Math Students](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/img\/header-fast-intro-for-math-students.png)](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/)\n\n- [홈](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/\/\/)\n- [입력](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/entering-input\/)\n- [분수와 소수](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/fractions-and-decimals\/)\n- [변수와 함수](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/variables-and-functions\/)\n- [대수](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/algebra\/)\n- [2D 플롯](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/plots-in-2d\/)\n- [기하](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/geometry\/)\n- [삼각법](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/trigonometry\/)\n- [극좌표](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/polar-coordinates\/)\n- [지수 함수와 로그](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/exponentials-and-logarithms\/)\n- [극한](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/limits\/)\n- [도함수](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/derivatives\/)\n- [적분](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/integrals\/)\n- [수열, 합 & 급수](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/)\n- [다양한 2D 플롯](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/more-plots-in-2d\/)\n- [3D 플롯](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/plots-in-3d\/)\n- [다변량 미적분](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/multivariate-calculus\/)\n- [벡터 분석 및 시각화](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/vector-analysis-and-visualization\/)\n- [미분방정식](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/differential-equations\/)\n- [복소해석학](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/complex-analysis\/)\n- [행렬과 선형 대수](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/matrices-and-linear-algebra\/)\n- [이산 수학](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/discrete-mathematics\/)\n- [확률](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/probability\/)\n- [통계](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/statistics\/)\n- [데이터 플롯 & 최적합 곡선](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/data-plots-and-best-fit-curves\/)\n- [군론](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/group-theory\/)\n- [수학 퍼즐](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/math-puzzles\/)\n- [인터랙티브 모델](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/interactive-models\/)\n- [수학 유형 세트](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/mathematical-typesetting\/)\n- [노트북 문서](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/notebook-documents\/)\n- [클라우드 배포](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/cloud-deployment\/)\n- [사용 해보기](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/get-started\/)\n\n[사용 해보기 »](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/get-started\/)\n\n[‹](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/integrals\/)\n\n# 수열, 합 & 급수\nWolfram 언어에서 정수열은 목록으로 표시됩니다.\n\n[Table](http:\/\/reference.wolfram.com\/language\/ref\/Table.html)을 사용하여 간단한 수열을 정의합니다.\n\n|   |   |\n|---|---|\n| In\\[1\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-1-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[1\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-1-o.gif.ko) |\n\n잘 알려진 몇 가지 수열은 내장되어 있습니다.\n\n|   |   |\n|---|---|\n| In\\[2\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-2-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[2\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-2-o.gif.ko) |\n\n[RecurrenceTable](http:\/\/reference.wolfram.com\/language\/ref\/RecurrenceTable.html)을 사용하여 귀납적 수열을 정의합니다.\n\n({*x*,*min*,*max*} 등과 같은 표기를 사용합니다.)\n\n|   |   |\n|---|---|\n| In\\[1\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-3-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[1\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-3-o.gif.ko) |\n\n수열의 [Total](http:\/\/reference.wolfram.com\/language\/ref\/Total.html)을 계산합니다.\n\n|   |   |\n|---|---|\n| In\\[2\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-4-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[2\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-4-o.gif.ko) |\n\n수열의 [Sum](http:\/\/reference.wolfram.com\/language\/ref\/Sum.html) (합)을 그 생성 함수에서 계산합니다.\n\n|   |   |\n|---|---|\n| In\\[1\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-5-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[1\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-5-o.gif.ko) |\n\nESCsumtESC을 사용하여 기입 가능한 유형 세트 형식을 표시합니다.\n\n|   |   |\n|---|---|\n| In\\[2\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-6-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[2\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-6-o.gif.ko) |\n\n무한한 다수 합을 구할 수 있습니다.\n\n|   |   |\n|---|---|\n| In\\[3\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-7-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[3\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-7-o.gif.ko) |\n\n수열의 [생성 함수](http:\/\/reference.wolfram.com\/language\/ref\/FindSequenceFunction.html)를 계산합니다.\n\n|   |   |\n|---|---|\n| In\\[1\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-8-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[1\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-8-o.gif.ko) |\n\n사실상 모든 조합의 내장 함수에 대한 [거듭 제곱 급수](http:\/\/reference.wolfram.com\/language\/ref\/Series.html)의 근사값을 생성할 수 있습니다.\n\n|   |   |\n|---|---|\n| In\\[1\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-9-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[1\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-9-o.gif.ko) |\n\nO\\[x\\]9는 삭제된 고차항을 나타내며, [Normal](http:\/\/reference.wolfram.com\/language\/ref\/Normal.html)을 사용하여 주어진 항을 절개합니다.\n\n|   |   |\n|---|---|\n| In\\[2\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-10-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[2\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-10-o.gif.ko) |\n\n미지의 혹은 미정의 함수가 주어질 경우,[Series](http:\/\/reference.wolfram.com\/language\/ref\/Series.html)는 도함수에 대한 거듭 제곱 급수를 반환합니다.\n\n|   |   |\n|---|---|\n| In\\[3\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-11-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[3\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-11-o.gif.ko) |\n\n수렴하는 급수는 자동으로 단순화될 수 있습니다.\n\n|   |   |\n|---|---|\n| In\\[1\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-12-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[1\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-12-o.gif.ko) |\n\n참고 사항: [정수열 `»`](http:\/\/reference.wolfram.com\/language\/guide\/IntegerSequences.html)\n\n참고 사항: [급수 전개 `»`](http:\/\/reference.wolfram.com\/language\/guide\/SeriesExpansions.html)\n\n[![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/img\/hands-on-start-student.png)Hands–on Start to Wolfram Mathematica »](http:\/\/www.handsonstart.com\/)\n\n[![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/img\/open-book-icon-student.png)전체 문서 보기 »](http:\/\/reference.wolfram.com\/language\/)\n\n[![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/img\/demonstrations-student.png)데모 프로젝트 »](http:\/\/demonstrations.wolfram.com\/topic.html?topic=Mathematics)\n\nNext Section\n\n© 2026 Wolfram\n\n[›](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/more-plots-in-2d\/)","attrs_readable_markdown":"- [홈](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/\/\/)\n- [입력](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/entering-input\/)\n- [분수와 소수](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/fractions-and-decimals\/)\n- [변수와 함수](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/variables-and-functions\/)\n- [대수](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/algebra\/)\n- [2D 플롯](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/plots-in-2d\/)\n- [기하](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/geometry\/)\n- [삼각법](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/trigonometry\/)\n- [극좌표](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/polar-coordinates\/)\n- [지수 함수와 로그](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/exponentials-and-logarithms\/)\n- [극한](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/limits\/)\n- [도함수](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/derivatives\/)\n- [적분](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/integrals\/)\n- [수열, 합 & 급수](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/)\n- [다양한 2D 플롯](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/more-plots-in-2d\/)\n- [3D 플롯](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/plots-in-3d\/)\n- [다변량 미적분](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/multivariate-calculus\/)\n- [벡터 분석 및 시각화](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/vector-analysis-and-visualization\/)\n- [미분방정식](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/differential-equations\/)\n- [복소해석학](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/complex-analysis\/)\n- [행렬과 선형 대수](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/matrices-and-linear-algebra\/)\n- [이산 수학](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/discrete-mathematics\/)\n- [확률](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/probability\/)\n- [통계](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/statistics\/)\n- [데이터 플롯 & 최적합 곡선](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/data-plots-and-best-fit-curves\/)\n- [군론](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/group-theory\/)\n- [수학 퍼즐](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/math-puzzles\/)\n- [인터랙티브 모델](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/interactive-models\/)\n- [수학 유형 세트](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/mathematical-typesetting\/)\n- [노트북 문서](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/notebook-documents\/)\n- [클라우드 배포](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/cloud-deployment\/)\n- [사용 해보기](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/get-started\/)\n\n[사용 해보기 »](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/get-started\/)\n\n## 수열, 합 & 급수\nWolfram 언어에서 정수열은 목록으로 표시됩니다.\n\n[Table](http:\/\/reference.wolfram.com\/language\/ref\/Table.html)을 사용하여 간단한 수열을 정의합니다.\n\n|   |   |\n|---|---|\n| In\\[1\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-1-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[1\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-1-o.gif.ko) |\n\n잘 알려진 몇 가지 수열은 내장되어 있습니다.\n\n|   |   |\n|---|---|\n| In\\[2\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-2-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[2\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-2-o.gif.ko) |\n\n[RecurrenceTable](http:\/\/reference.wolfram.com\/language\/ref\/RecurrenceTable.html)을 사용하여 귀납적 수열을 정의합니다.\n\n({*x*,*min*,*max*} 등과 같은 표기를 사용합니다.)\n\n|   |   |\n|---|---|\n| In\\[1\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-3-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[1\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-3-o.gif.ko) |\n\n수열의 [Total](http:\/\/reference.wolfram.com\/language\/ref\/Total.html)을 계산합니다.\n\n|   |   |\n|---|---|\n| In\\[2\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-4-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[2\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-4-o.gif.ko) |\n\n수열의 [Sum](http:\/\/reference.wolfram.com\/language\/ref\/Sum.html) (합)을 그 생성 함수에서 계산합니다.\n\n|   |   |\n|---|---|\n| In\\[1\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-5-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[1\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-5-o.gif.ko) |\n\nESCsumtESC을 사용하여 기입 가능한 유형 세트 형식을 표시합니다.\n\n|   |   |\n|---|---|\n| In\\[2\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-6-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[2\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-6-o.gif.ko) |\n\n무한한 다수 합을 구할 수 있습니다.\n\n|   |   |\n|---|---|\n| In\\[3\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-7-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[3\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-7-o.gif.ko) |\n\n수열의 [생성 함수](http:\/\/reference.wolfram.com\/language\/ref\/FindSequenceFunction.html)를 계산합니다.\n\n|   |   |\n|---|---|\n| In\\[1\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-8-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[1\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-8-o.gif.ko) |\n\n사실상 모든 조합의 내장 함수에 대한 [거듭 제곱 급수](http:\/\/reference.wolfram.com\/language\/ref\/Series.html)의 근사값을 생성할 수 있습니다.\n\n|   |   |\n|---|---|\n| In\\[1\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-9-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[1\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-9-o.gif.ko) |\n\nO\\[x\\]9는 삭제된 고차항을 나타내며, [Normal](http:\/\/reference.wolfram.com\/language\/ref\/Normal.html)을 사용하여 주어진 항을 절개합니다.\n\n|   |   |\n|---|---|\n| In\\[2\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-10-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[2\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-10-o.gif.ko) |\n\n미지의 혹은 미정의 함수가 주어질 경우,[Series](http:\/\/reference.wolfram.com\/language\/ref\/Series.html)는 도함수에 대한 거듭 제곱 급수를 반환합니다.\n\n|   |   |\n|---|---|\n| In\\[3\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-11-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[3\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-11-o.gif.ko) |\n\n수렴하는 급수는 자동으로 단순화될 수 있습니다.\n\n|   |   |\n|---|---|\n| In\\[1\\]:= | ![Click for copyable input](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-12-i.gif.ko)⨯ |\n\n|   |   |\n|---|---|\n| Out\\[1\\]= | ![](https:\/\/www.wolfram.com\/language\/fast-introduction-for-math-students\/ko\/sequences-sums-and-series\/Files\/index-io-12-o.gif.ko) |\n\n참고 사항: [정수열 `»`](http:\/\/reference.wolfram.com\/language\/guide\/IntegerSequences.html)\n\n참고 사항: [급수 전개 `»`](http:\/\/reference.wolfram.com\/language\/guide\/SeriesExpansions.html)\n\nNext Section","meta_canonical":null}

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URL	https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/
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Meta Title	Sequences, Sums, Series \| Mathematica & Wolfram Language for Math Students—Fast Intro
Meta Description	How to build integer sequences and recursive sequences with lists. Calculate totals, sums, power series approximations. Tutorial for Mathematica & Wolfram Language.
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Boilerpipe Text	홈 입력 분수와 소수 변수와 함수 대수 2D 플롯 기하 삼각법 극좌표 지수 함수와 로그 극한 도함수 적분 수열, 합 & 급수 다양한 2D 플롯 3D 플롯 다변량 미적분 벡터 분석 및 시각화 미분방정식 복소해석학 행렬과 선형 대수 이산 수학 확률 통계 데이터 플롯 & 최적합 곡선 군론 수학 퍼즐 인터랙티브 모델 수학 유형 세트 노트북 문서 클라우드 배포 사용 해보기 사용 해보기 » 수열, 합 & 급수 Wolfram 언어에서 정수열은 목록으로 표시됩니다. Table 을 사용하여 간단한 수열을 정의합니다. In[1]:= ⨯ Table[x^2, {x, 1, 7}] Out[1]= 잘 알려진 몇 가지 수열은 내장되어 있습니다. In[2]:= ⨯ Table[Fibonacci[x], {x, 1, 7}] Out[2]= RecurrenceTable 을 사용하여 귀납적 수열을 정의합니다. ({ x , min , max } 등과 같은 표기를 사용합니다.) In[1]:= ⨯ RecurrenceTable[{a[x] == 2 a[x - 1], a[1] == 1}, a, {x, 1, 8}] Out[1]= 수열의 Total 을 계산합니다. In[2]:= ⨯ Total[%] Out[2]= 수열의 Sum (합)을 그 생성 함수에서 계산합니다. In[1]:= ⨯ Sum[i (i + 1), {i, 1, 10}] Out[1]= ESC sumt ESC 을 사용하여 기입 가능한 유형 세트 형식을 표시합니다. In[2]:= ⨯ \!\( \UnderoverscriptBox[\(\[Sum]\), \(i = 1\), \(10\)]\(i \((i + 1)\)\)\) Out[2]= 무한한 다수 합을 구할 수 있습니다. In[3]:= ⨯ \!\( \UnderoverscriptBox[\(\[Sum]\), \(i = 1\), \(n\)]\( \UnderoverscriptBox[\(\[Sum]\), \(j = 1\), \(n\)]i\ j\)\) Out[3]= 수열의 생성 함수 를 계산합니다. In[1]:= ⨯ FindSequenceFunction[{2, 4, 6, 8}, n] Out[1]= 사실상 모든 조합의 내장 함수에 대한 거듭 제곱 급수 의 근사값을 생성할 수 있습니다. In[1]:= ⨯ Series[Exp[x^2], {x, 0, 8}] Out[1]= O[x] 9 는 삭제된 고차항을 나타내며, Normal 을 사용하여 주어진 항을 절개합니다. In[2]:= ⨯ Normal[%] Out[2]= 미지의 혹은 미정의 함수가 주어질 경우, Series 는 도함수에 대한 거듭 제곱 급수를 반환합니다. In[3]:= ⨯ Series[2 f[x] - 3, {x, 0, 3}] Out[3]= 수렴하는 급수는 자동으로 단순화될 수 있습니다. In[1]:= ⨯ \!\( \UnderoverscriptBox[\(\[Sum]\), \(n = 0\), \(\[Infinity]\)] \*SuperscriptBox[\(0.5\), \(n\)]\) Out[1]= 참고 사항: 정수열 » 참고 사항: 급수 전개 » Next Section
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[Table](http://reference.wolfram.com/language/ref/Table.html)을 사용하여 간단한 수열을 정의합니다. \| \| \| \|---\|---\| \| In\[1\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-1-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[1\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-1-o.gif.ko) \| 잘 알려진 몇 가지 수열은 내장되어 있습니다. \| \| \| \|---\|---\| \| In\[2\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-2-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[2\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-2-o.gif.ko) \| [RecurrenceTable](http://reference.wolfram.com/language/ref/RecurrenceTable.html)을 사용하여 귀납적 수열을 정의합니다. ({x,min,max} 등과 같은 표기를 사용합니다.) \| \| \| \|---\|---\| \| In\[1\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-3-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[1\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-3-o.gif.ko) \| 수열의 [Total](http://reference.wolfram.com/language/ref/Total.html)을 계산합니다. \| \| \| \|---\|---\| \| In\[2\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-4-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[2\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-4-o.gif.ko) \| 수열의 [Sum](http://reference.wolfram.com/language/ref/Sum.html) (합)을 그 생성 함수에서 계산합니다. \| \| \| \|---\|---\| \| In\[1\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-5-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[1\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-5-o.gif.ko) \| ESCsumtESC을 사용하여 기입 가능한 유형 세트 형식을 표시합니다. \| \| \| \|---\|---\| \| In\[2\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-6-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[2\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-6-o.gif.ko) \| 무한한 다수 합을 구할 수 있습니다. \| \| \| \|---\|---\| \| In\[3\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-7-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[3\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-7-o.gif.ko) \| 수열의 [생성 함수](http://reference.wolfram.com/language/ref/FindSequenceFunction.html)를 계산합니다. \| \| \| \|---\|---\| \| In\[1\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-8-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[1\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-8-o.gif.ko) \| 사실상 모든 조합의 내장 함수에 대한 [거듭 제곱 급수](http://reference.wolfram.com/language/ref/Series.html)의 근사값을 생성할 수 있습니다. \| \| \| \|---\|---\| \| In\[1\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-9-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[1\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-9-o.gif.ko) \| O\[x\]9는 삭제된 고차항을 나타내며, [Normal](http://reference.wolfram.com/language/ref/Normal.html)을 사용하여 주어진 항을 절개합니다. \| \| \| \|---\|---\| \| In\[2\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-10-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[2\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-10-o.gif.ko) \| 미지의 혹은 미정의 함수가 주어질 경우,[Series](http://reference.wolfram.com/language/ref/Series.html)는 도함수에 대한 거듭 제곱 급수를 반환합니다. \| \| \| \|---\|---\| \| In\[3\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-11-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[3\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-11-o.gif.ko) \| 수렴하는 급수는 자동으로 단순화될 수 있습니다. \| \| \| \|---\|---\| \| In\[1\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-12-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[1\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-12-o.gif.ko) \| 참고 사항: [정수열 `»`](http://reference.wolfram.com/language/guide/IntegerSequences.html) 참고 사항: [급수 전개 `»`](http://reference.wolfram.com/language/guide/SeriesExpansions.html) [![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/img/hands-on-start-student.png)Hands–on Start to Wolfram Mathematica »](http://www.handsonstart.com/) [![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/img/open-book-icon-student.png)전체 문서 보기 »](http://reference.wolfram.com/language/) [![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/img/demonstrations-student.png)데모 프로젝트 »](http://demonstrations.wolfram.com/topic.html?topic=Mathematics) Next Section © 2026 Wolfram [›](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/more-plots-in-2d/)
Readable Markdown	- [홈](https://www.wolfram.com/language/fast-introduction-for-math-students/ko///) - [입력](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/entering-input/) - [분수와 소수](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/fractions-and-decimals/) - [변수와 함수](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/variables-and-functions/) - [대수](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/algebra/) - [2D 플롯](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/plots-in-2d/) - [기하](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/geometry/) - [삼각법](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/trigonometry/) - [극좌표](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/polar-coordinates/) - [지수 함수와 로그](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/exponentials-and-logarithms/) - [극한](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/limits/) - [도함수](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/derivatives/) - [적분](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/integrals/) - [수열, 합 & 급수](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/) - [다양한 2D 플롯](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/more-plots-in-2d/) - [3D 플롯](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/plots-in-3d/) - [다변량 미적분](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/multivariate-calculus/) - [벡터 분석 및 시각화](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/vector-analysis-and-visualization/) - [미분방정식](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/differential-equations/) - [복소해석학](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/complex-analysis/) - [행렬과 선형 대수](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/matrices-and-linear-algebra/) - [이산 수학](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/discrete-mathematics/) - [확률](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/probability/) - [통계](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/statistics/) - [데이터 플롯 & 최적합 곡선](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/data-plots-and-best-fit-curves/) - [군론](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/group-theory/) - [수학 퍼즐](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/math-puzzles/) - [인터랙티브 모델](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/interactive-models/) - [수학 유형 세트](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/mathematical-typesetting/) - [노트북 문서](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/notebook-documents/) - [클라우드 배포](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/cloud-deployment/) - [사용 해보기](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/get-started/) [사용 해보기 »](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/get-started/) ## 수열, 합 & 급수 Wolfram 언어에서 정수열은 목록으로 표시됩니다. [Table](http://reference.wolfram.com/language/ref/Table.html)을 사용하여 간단한 수열을 정의합니다. \| \| \| \|---\|---\| \| In\[1\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-1-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[1\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-1-o.gif.ko) \| 잘 알려진 몇 가지 수열은 내장되어 있습니다. \| \| \| \|---\|---\| \| In\[2\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-2-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[2\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-2-o.gif.ko) \| [RecurrenceTable](http://reference.wolfram.com/language/ref/RecurrenceTable.html)을 사용하여 귀납적 수열을 정의합니다. ({x,min,max} 등과 같은 표기를 사용합니다.) \| \| \| \|---\|---\| \| In\[1\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-3-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[1\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-3-o.gif.ko) \| 수열의 [Total](http://reference.wolfram.com/language/ref/Total.html)을 계산합니다. \| \| \| \|---\|---\| \| In\[2\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-4-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[2\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-4-o.gif.ko) \| 수열의 [Sum](http://reference.wolfram.com/language/ref/Sum.html) (합)을 그 생성 함수에서 계산합니다. \| \| \| \|---\|---\| \| In\[1\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-5-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[1\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-5-o.gif.ko) \| ESCsumtESC을 사용하여 기입 가능한 유형 세트 형식을 표시합니다. \| \| \| \|---\|---\| \| In\[2\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-6-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[2\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-6-o.gif.ko) \| 무한한 다수 합을 구할 수 있습니다. \| \| \| \|---\|---\| \| In\[3\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-7-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[3\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-7-o.gif.ko) \| 수열의 [생성 함수](http://reference.wolfram.com/language/ref/FindSequenceFunction.html)를 계산합니다. \| \| \| \|---\|---\| \| In\[1\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-8-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[1\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-8-o.gif.ko) \| 사실상 모든 조합의 내장 함수에 대한 [거듭 제곱 급수](http://reference.wolfram.com/language/ref/Series.html)의 근사값을 생성할 수 있습니다. \| \| \| \|---\|---\| \| In\[1\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-9-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[1\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-9-o.gif.ko) \| O\[x\]9는 삭제된 고차항을 나타내며, [Normal](http://reference.wolfram.com/language/ref/Normal.html)을 사용하여 주어진 항을 절개합니다. \| \| \| \|---\|---\| \| In\[2\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-10-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[2\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-10-o.gif.ko) \| 미지의 혹은 미정의 함수가 주어질 경우,[Series](http://reference.wolfram.com/language/ref/Series.html)는 도함수에 대한 거듭 제곱 급수를 반환합니다. \| \| \| \|---\|---\| \| In\[3\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-11-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[3\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-11-o.gif.ko) \| 수렴하는 급수는 자동으로 단순화될 수 있습니다. \| \| \| \|---\|---\| \| In\[1\]:= \| ![Click for copyable input](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-12-i.gif.ko)⨯ \| \| \| \| \|---\|---\| \| Out\[1\]= \| ![](https://www.wolfram.com/language/fast-introduction-for-math-students/ko/sequences-sums-and-series/Files/index-io-12-o.gif.ko) \| 참고 사항: [정수열 `»`](http://reference.wolfram.com/language/guide/IntegerSequences.html) 참고 사항: [급수 전개 `»`](http://reference.wolfram.com/language/guide/SeriesExpansions.html) Next Section
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