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[창의 퍼즐] n은 무엇인가(열린문제)
Scubed 2021.11.03 07:58 조회 397
문제 푼 사람 2명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

이번 문제는 조금 특이합니다. 꼭 설명을 잘 읽어주세요.

이번 문제는 제목 그대로 n을 구하는 것입니다.

그런데, 조건이 있습니다.

먼저, 점화식을 세워야 합니다. 어떠한 형태이든 상관없으니 이전 숫자들에 맞게 점화식을 세워주세요.(a_n에 대한 0차식 뭐 이런 거 안됩니다)

또한, 정답요청은 공개댓글로 해주세요. 앞의 사람이 한 방법은 할 수 없습니다.

그리고 해결딱지는 1명당 1개씩만 받을 수 있습니다. 더 참신한 방법이 있다면 비댓으로 저에게 알려주세요.

제가 댓글에 예시를 하나 적어놓겠습니다.

이 문제 어떠셨나요?

글쎄요

1

어려워요

0

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  •  
    Scubed Lv.7 2021.11.03 07:59

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    Function: require_once

    a_{n+2}=a_{n+1}+a_n, a_1=1, a_2=1

    N=13

    댓글 작성하기 좋아요0 댓글수1
    •  
      Scubed Lv.7 2021.11.03 08:00

      제 방법 못함

      (뭐 사실 조금 변형시키면 쉽게 되긴 하지만...)

      좋아요0
  •  
    222 Lv.9 2021.11.03 17:59
    확인요청중

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    Function: require_once

    a_{n+2}=a_{n}+a_{n+1}+(n-1)(n-2)(n-3)(n-4), a_{1}=1, a_{2}=1

    N=23

    댓글 작성하기 좋아요0 댓글수1
    •  
      Scubed Lv.7 2021.11.04 05:48

      엇 계산 잘못하신 것 같은데...

      좋아요0
  •  
    해결
    Amath Lv.8 2021.11.03 22:47

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    점화식 : a_{1}=1, a_{2}=1, 13a_{n}a_{n+1}-10(a_{n})^{2}-4(a_{n-1})^{2}+3=a_{n+2}

     

    이 식에 대입하면 a_{8}=17이다. 

    댓글 작성하기 좋아요0 댓글수1
    •  
      Scubed Lv.7 2021.11.04 05:49

      문제 수정해서 7을 구해주셔야 합니다

      좋아요0
  •  
    해결
    222 Lv.9 2021.11.04 07:14

    ㅏ 계산 잘못했네요

    a_{n+2}=a_{n}+a_{n+1}+(n-1)(n-2)(n-3)(n-4), a_{1}=1, a_{2}=1

    N=37

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  •  
    Amath Lv.8 2021.11.04 18:14

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    Function: require_once

    아. 위위에서 17은 a_{8}이 아니라 a_{7}을 구한 거예요. 

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