可以裂项再相加

来源: 2024-07-16 06:12:36 [旧帖] [给我悄悄话] 本文已被阅读:

3/10+3/40+3/88+3/154+3/238+3/340

= (1/2 - 1/5) + (1/5 - 1/8) + (1/8 - 1/11) + (1/11 - 1/14) + (1/14 - 1/17) + (1/17 - 1/20)

= 1/2 - 1/20

= 9/20