1/(12×13)+1/(13×14)+……+1/(19×20)的值为?

问题描述:

1/(12×13)+1/(13×14)+……+1/(19×20)的值为?
1/(12×13)+1/(13×14)+……+1/(19×20)的值为多少?
请列出怎么详解过程.
答案是1/40

=1/12-1/13+1/13-1/14+...+1/19-1/20
=1/12-1/20
=1/30