问题描述: 1-1/2-1/6-1/12-1/20-……-1/9900 1/2是2分之1的意思 1个回答 分类:数学 2014-10-12 问题解答: 我来补答 1-1/2-1/6-1/12-1/20-……-1/9900=1-(1×1/2)-(1/2×1/3)-(1/3×1/4)-(1/4×1/5)-.(1/99×1/100)=1-(1-1/2)-(1/2-1/3)-(1/3-1/4)-(1/4-1/5)-.(1/99×1/100)=1-1+1/2-1/2+1/3-1/3+1/4-1/4+1/5-.-1/99+1/100=1/100 展开全文阅读