已知1/2+1/6+1/12+1/20+...+1/2011*2010

分类: 作业答案 • 2023-01-19 22:53:55

问题描述：

答

1/2+1/6+1/12+1/20+...+1/2010*2011
=1/2+1/2-1/3+1/3-1/4+1/4-1/5+……+1/2010-1/2011
=1-1/2011
=2010/2011