问题描述: 怎么答这两道题 1个回答 分类:数学 2014-10-26 问题解答: 我来补答 1/(1×2)+1/(2×3)+1/(3×4)+...+1/(2004×2005)=1-1/2+1/2-1/3+1/3-1/4+...+1/2004-1/2005=1-1/2005=2004/20051/(1×3)+1/(3×5)+1/(5×7)+...+1/(49×51)=1/2×(1-1/3+1/3-1/5+1/5-1/7+...+1/49-1/51)=1/2×(1-1/51)=1/2×50/51=25/51 展开全文阅读