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수학동아 - 폴리매스
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함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 생존숫자(2)
△π 2020.04.01 19:29 조회 305
문제 푼 사람 0명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

(1)1부터 n까지 숫자가 늘어서있다. 이번에는 하나 건너 하나 죽이고, 둘 건너 하나 죽이고, 넷 건너 하나 죽이는 등, 건너는 숫자를 2의 거듭제곱꼴로 고친다. 이때 마지막까지 남는 수를 h(n)이라 하자. h(n)사이의 관계식을 구하시오.

(2)1부터 n까지 숫자가 늘어서있다. 하나 건너 하나 죽이고, 하나 건너 하나 죽이고, 둘 건너 하나 죽이고, 셋 건너 하나 죽이고, 다섯 건너 하나 죽이는 등, 건너는 숫자를 피보나치 수열로 고친다. 마지막까지 남는 수를 i(n)이라 할 때, i(n)사이의 관계식을 구하시오.

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