问题描述： 1/4+1/12+1/24+1/40……+1/19800=? 1个回答 分类：数学 2014-11-29 问题解答： 我来补答 1/4+1/12+1/24+1/40+……+1/19800 =(1/2)*[1/2+1/6+1/12+1/20+...+1/9900] =(1/2)*[1/1*2+1/2*3+1/3*4+1/4*5+...+1/99*100] =(1/2)*[1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/99-1/100] =(1/2)*[1-1/100] =(1/2)*(99/100) =99/200加油! 展开全文阅读
