HMMT 二月 2001 · 冲刺赛 · 第 50 题
HMMT February 2001 — Guts Round — Problem 50
题目详情
- [9] The Fibonacci sequence F , F , F , . . . is defined by F = F = 1 and F = 1 2 3 1 2 n +2 F + F . Find the least positive integer t such that for all n > 0, F = F . n +1 n n n + t
解析
- [9] The Fibonacci sequence F , F , F , . . . is defined by F = F = 1 and F = 1 2 3 1 2 n +2 F + F . Find the least positive integer t such that for all n > 0, F = F . n +1 n n n + t Solution: 60 .