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[창의 퍼즐] [수열]피보나치 응용
전자기역학 2020.05.01 05:27 조회 660

수열 f_n이 피보나치 수열이다(1, 1, 2, 3, 5, ...). 수열 F_n을 정의하기를, 

F_1=0, F_2=1이며 양의 정수 n에 대해 F_{n+2}=F_{n+1}+F_{n+1}F_n+F_n을 만족하는 수열이다.

그럼 n\geq 2일 때,  F_n=2^{f_{n-1}}-1임을 증명하여라.

이 문제 어떠셨나요?

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  •  
    MathlabJ Lv.8 2020.05.01 18:07 비밀댓글
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      전자기역학 Lv.8 2020.05.01 20:29 비밀댓글
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    해결
    inf Lv.4 2020.05.02 01:46 비밀댓글

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    •  
      inf Lv.4 2020.05.02 01:47

      으악 TeX 가 깨지네요 나중에 이미지로 직접 렌더링해서 올리겠습니다

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