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

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/15 17:18:41
计算2/(k+1)(k+3) +2/(k+3)(k+5)+…+2/(k+2003)(k+2005)
=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)