1/2+1/6+1/12+……+1/2005*2006等于多少?

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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+

1/2+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