2/1*3+2/3*5+2/5*7……+2/97*99+2/99*101要清楚的~

问题描述:

2/1*3+2/3*5+2/5*7……+2/97*99+2/99*101
要清楚的~

2/n(n+2)=1/n-1/(n+2) n=1,3,5,...,99
(1-1/3)+(1/3-1/5)+...+(1/99-1/101)=1-1/101=100/101