1/2-1/6-1/12-1/20-1/30-1/42-1/56等于多少

问题描述:

1/2-1/6-1/12-1/20-1/30-1/42-1/56等于多少

用裂项法
1/2-1/6-1/12-1/20-1/30-1/42-1/56
=1/2-(1/2-1/3)-(1/3-1/4)-(1/4-1/5)-(1/5-1/7)-(1/6-1/7)-(1/7-1/8)
=1/8