2005/1x2+2005/2x3+2005/3x4+2005/4x5.2005/2004x2005=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 01:11:23

2005/1x2+2005/2x3+2005/3x4+2005/4x5.2005/2004x2005=?
2005/1x2+2005/2x3+2005/3x4+2005/4x5.2005/2004x2005=?

2005/1x2+2005/2x3+2005/3x4+2005/4x5.2005/2004x2005=?
=2005x(1/1x2+1/2x3+.1/2004x2005)
=2005x(1/1-1/2+1/2-1/3+.1/2004-1/2005)
=2005x(1-1/2005)
=2005x2004/2005
=2004

哈哈 很简单的一道题目,1/(n×(n+1))=1/n-1/(n+1) 最后的答案是 2004