问题描述： 1/6+1/24+1/48/+1/120+1/210+1/336+1/512用简便方法 1个回答 分类：数学 2014-12-13 问题解答： 我来补答 1/6+1/24+1/60+1/120+1/210+1/336+1/112=(2/6+2/24+2/60+2/120+2/210+2/336+2/112)*1/2 =(1/1*2-1/2*3+1/2*3-1/3*4+1/3*4-1/4*5+1/4*5- 1/5*6+1/5*6-1/6*7+1/6*7-1/7*8+2/112)*1/2 =(1/2-1/7*8+2/112)*1/2 =(1/2-1/56+1/56)=1/2*1/2=1/4 展开全文阅读
