问题描述: 1/1×4+1/4×7+1/7×10+1/10×13+···+1/2008×2011 = 1个回答 分类:数学 2014-10-25 问题解答: 我来补答 1/(1×4)+1/(4×7)+1/(7×10)+1/(10×13)+···+1/(2008×2011)=(1-1/4)/3+(1/4-1/7)/3+...+(1/2008-1/2011)/3=(1-1/4+1/4-1/7+...+1/2008-1/2011)/3=(1-1/2011)/3=670/2011 展开全文阅读