问题描述: 1/1x2x3+1/2x3x4+1/3x4x5+------+1/98x99x100= 1个回答 分类:数学 2014-12-02 问题解答: 我来补答 1/1x2x3+1/2x3x4+1/3x4x5+------+1/98x99x100=(1/2)*(1/1*2-1/2*3)+(1/2)*(1/2*3-1/3*4)+...+(1/2)(1/98*99-1/99*100)=(1/2)*(1/1*2-1/2*2+1/2*3-1/3*4+...+1/98*99-1/99*100)=(1/2)*(1/2-1/9900)=(1/2)*(4949/9900)=4949/19800. 展开全文阅读