1-1/2-1/6-1/12-1/20-……-1/99*100 用简便方法计算

问题描述:

1-1/2-1/6-1/12-1/20-……-1/99*100 用简便方法计算

1-1/2-1/6-1/12-1/20-.-1/99×100
=1-1/2-(1/2-1/3)-(1/3-1/4)-(1/4-1/5)-.-(1/99-1/00)
=1/2-1/2+1/3-1/3+1/4-1/4+1/5-.-1/99+1/100
=1/100