1/2+1/6+1/12+1/20+.+1/2009×2010结果为多少

问题描述:

1/2+1/6+1/12+1/20+.+1/2009×2010结果为多少

1/2+1/6+1/12+1/20+.+1/2009×2010
=1-1/2+1/2-1/3+1/3-1/4+...+1/2009-1/2010
=1-1/2010
=2009/2010