PUMaC 2024 · 团队赛 · 第 2 题
PUMaC 2024 — Team Round — Problem 2
题目详情
- Let real number sequences a and x be defined for 1 ≤ k ≤ 7 and suppose that a = 1 and k k 1 P 7 2 2 a = a + x for 1 ≤ k ≤ 7. Let x be chosen such that the quantity S = ( a + x ) is k +1 k k k k k k =1 m minimized. Then S = for coprime positive integers m and n . Find m + n . n 2
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