1/2+1/6+1/12+……+1/2005*2006等于多少?

来源：学生作业帮助网编辑：作业帮时间：2024/05/05 13:55:47

1/2+1/6+1/12+……+1/2005*2006等于多少?
1/2+1/6+1/12+……+1/2005*2006等于多少?

1/2+1/6+1/12+……+1/2005*2006等于多少?
1/2+1/6+1/12+……+1/2005*2006
=1/1X2+1/2X3+1/3X4+……+1/2005*2006
=1-1/2+1/2-1/3+1/3-1/4+...+1/2005-1/2006
=1-1/2006
=2005/2006

1/2+1/6+1/12+……+1/2005*2006
=1-1/2+1/2-1/3+1/3-1/4+……+1/2005-1/2006
=1-1/2006
=2005/2006