PUMaC 2014 · 代数(B 组) · 第 1 题
PUMaC 2014 — Algebra (Division B) — Problem 1
题目详情
- [ 3 ] Evaluate + + ... + . 1+ 2 2+ 3 1368+ 1369
解析
- [ 3 ] Evaluate + + ... + . 1+ 2 2+ 3 1368+ 1369 Solution: √ By telescoping series, the expression is equal to 1369 − 1 = 37 − 1 = 36 .