1/6+1/12+1/20+1/30+.1/2005x2006等于几,赏分啊

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1/6+1/12+1/20+1/30+.1/2005x2006等于几,赏分啊
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1/6+1/12+1/20+1/30+.1/2005x2006等于几,赏分啊
1/6+1/12+1/20+1/30+.1/2005x2006等于几,赏分啊

1/6+1/12+1/20+1/30+.1/2005x2006等于几,赏分啊
1/6+1/12+1/20+1/30+.1/2005x2006
=1/2-1/3+1/3-1/4+1/4-1/5+.+1/2005-1/2006
=1/2-1/2006
=501/1003