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PUMaC 2016 · 代数（B 组） · 第 2 题

PUMaC 2016 — Algebra (Division B) — Problem 2

专题
Discrete Math / 离散数学
难度
L3
来源
PUMaC

题目详情

  1. Let a = 20, a = 16, and for k ≥ 3, let a = k − a − a . Compute a + a + · · · + a . 1 2 k 1 2 10 k − 1 k − 2 3 2
解析
  1. We have a + a + a = 4, a + a + a = 7, a + a + a = 10, and a = 8000. Thus, the 2 3 4 5 6 7 8 9 10 1 answer is 8021 . Problem written by Eric Neyman.