计算2/（k+1）（k+3) +2/（k+3)（k+5)+…+2/(k+2003)(k+2005)

分类: 作业答案 • 2021-12-28 11:27:03

问题描述：

答

=1/(k+1)-1/(k+3)+1/(k+3)-1/(k+5)+.+1/(k+2003)-1/(k+2005)
=1/(k+1)-1/(k+2005)
=2004/(k+1)(k+2005)