1/(1*3)+1/(3*5)+1/(5*7)+1/(7*9)...1/(199*201)=?

问题描述:

1/(1*3)+1/(3*5)+1/(5*7)+1/(7*9)...1/(199*201)=?

1/(1*3)+1/(3*5)+1/(5*7)+1/(7*9)...1/(199*201)=1/2(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9...+1/199-1/201)=100/201怎么做的,说的明白就给你分我不需要分,谢谢1/(n×(n+2))=1/2(1/n-1/(n+2))