(5/3*7)+(5/7*11)+(5/11*15)+.+(5/55*59)的计算过程

问题描述:

(5/3*7)+(5/7*11)+(5/11*15)+.+(5/55*59)的计算过程

=(5/4)*(1/3-1/7)+(5/4)*(1/7-1/11)+(5/4)*(1/11-1/15)+……+(5/4)*(1/55-1/59)
=(5/4)*(1/3-1/59)
=70/177