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HMMT 二月 2001 · 冲刺赛 · 第 50 题

HMMT February 2001 — Guts Round — Problem 50

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [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

英文解析

  1. [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 .