본문바로가기
함께 풀고 싶은 문제
나도 수학쌤 문장제 문제를 변형해 문제를 내는 곳입니다.
[문장제 문제&개념응용] 피보나치 수열
Scubed 2021.03.05 01:29 조회 568
문제 푼 사람 0명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

피보나치 수열은 다음과 같이 주어진다.

F(n+2)=F(n+1)+F(n), F(1)=1, F(2)=1

이 때, 물음에 답하시오.

(1) 피보나치 수열의 일반항을 구하고 증명하여라.

(2) n이 무한대로 커질 때 F(n+1)/F(n)의 값을 구하여라

이 문제 어떠셨나요?

글쎄요

0

어려워요

0

문제 찜하기 목록보기
댓글 5
댓글 작성하기
  •  
    로지컬 파이 Lv.4 2021.03.05 16:55 비밀댓글
    확인요청중
    비밀 댓글이 등록 되었습니다.
    댓글 작성하기 댓글수1
    •  
      Scubed Lv.7 2021.03.06 07:20 비밀댓글
      비밀 댓글이 등록 되었습니다!
  •  
    다시 도전
    뉴＿턴 Lv.8 2021.09.03 00:40 비밀댓글

    A PHP Error was encountered

    Severity: Warning

    Message: is_dir(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)

    Filename: libraries/Common.php

    Line Number: 201

    Backtrace:

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 201
    Function: is_dir

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 236
    Function: getLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
    Line: 343
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
    Line: 558
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
    Line: 315
    Function: require_once

    A PHP Error was encountered

    Severity: Warning

    Message: mkdir(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)

    Filename: libraries/Common.php

    Line Number: 202

    Backtrace:

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 202
    Function: mkdir

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 236
    Function: getLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
    Line: 343
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
    Line: 558
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
    Line: 315
    Function: require_once

    A PHP Error was encountered

    Severity: Warning

    Message: file_exists(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex/d4191f3efee752fdd407ea280708f807.gif) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)

    Filename: libraries/Common.php

    Line Number: 212

    Backtrace:

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 212
    Function: file_exists

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 236
    Function: getLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
    Line: 343
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
    Line: 558
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
    Line: 315
    Function: require_once

    A PHP Error was encountered

    Severity: Warning

    Message: file_get_contents(http://latex.codecogs.com/gif.latex?F%28n%29%3D%5Cfrac%7B%28%5Cfrac%7B1+%5Csqrt%7B5%7D%7D%7B2%7D%29%5En+%28%5Cfrac%7B1-%5Csqrt%7B5%7D%7D%7B2%7D%29%5En%7D%7B%5Csqrt%7B5%7D%7D): Failed to open stream: No route to host

    Filename: libraries/Common.php

    Line Number: 213

    Backtrace:

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 213
    Function: file_get_contents

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 236
    Function: getLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
    Line: 343
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
    Line: 558
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
    Line: 315
    Function: require_once

    A PHP Error was encountered

    Severity: Warning

    Message: file_put_contents(): open_basedir restriction in effect. File(/DATA/upload/polymath/latex/d4191f3efee752fdd407ea280708f807.gif) is not within the allowed path(s): (/volume1/web/PhpstormProjects/www_polymath_co_kr:/volume1/web:/tmp:/var/tmp:/var/services/tmp:/var/services/web:/volume1/@tmp)

    Filename: libraries/Common.php

    Line Number: 213

    Backtrace:

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 213
    Function: file_put_contents

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 236
    Function: getLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
    Line: 343
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
    Line: 558
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
    Line: 315
    Function: require_once

    A PHP Error was encountered

    Severity: Warning

    Message: file_put_contents(/DATA/upload/polymath/latex/d4191f3efee752fdd407ea280708f807.gif): Failed to open stream: Operation not permitted

    Filename: libraries/Common.php

    Line Number: 213

    Backtrace:

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 213
    Function: file_put_contents

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/libraries/Common.php
    Line: 236
    Function: getLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view_comment_list.php
    Line: 90
    Function: parseLatexImg

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/views/ver3/inc/view.php
    Line: 343
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/application/controllers/ver3/Contents.php
    Line: 558
    Function: view

    File: /volume1/web/PhpstormProjects/www_polymath_co_kr/index.php
    Line: 315
    Function: require_once

    비밀 댓글이 등록 되었습니다.
    댓글 작성하기 댓글수2
    •  
      Scubed Lv.7 2021.09.03 03:32

      증명 가즈아(문제에 증명 하라고...)

      좋아요0
    •  
      뉴＿턴 Lv.8 2021.09.03 11:04

      어라 ㄷㄷ

      좋아요0
  • ㈜동아사이언스 | 등록번호 : 서울 아04396 | 등록일자 : 2017년 3월 2일 | 제호 : 동아사이언스 | 발행인 : 장경애 | 편집인 : 김민수
  • ㈜동아사이언스 폴리매스 | 대표 : 장경애 | 개인정보 보호책임자 : 주세훈(privacy@dongascience.com) | 청소년보호책임자 : 박무성
  • (03737) 서울시 서대문구 충정로 29, 10층 ｜ 문의 : 02-6749-2000 ｜팩스 : 02-3148-0809 ｜사업자등록번호 : 101-81-62201 (사업자정보확인)
  • 통신판매업신고번호 : 제2013-서울용산-01101호 ｜온라인 결제를 위한 PG사의 구매안전서비스(가입사실 확인)
  • Copyright © Dongascience. All right reserved.

  • 폴리매스 문제는 과학기술진흥기금 및 복권기금의 재원으로 운영되고, 과학기술정보통신부와 한국과학창의재단의 지원을 받아 수행된 성과물로 우리나라의 과학기술 발전과 사회적 가치 증진에 기여하고 있습니다.

  • ☎문의 02-6749-3911