1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90=

问题描述:

1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90=

1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+(1/9-1/10)
=1-1/10
=9/10