计算:1/2+1/6+1/12+1/20+1/30+...+1/(2010*2011)+1/(2011*2012)

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计算:1/2+1/6+1/12+1/20+1/30+...+1/(2010*2011)+1/(2011*2012)计算:1/2+1/6+1/12+1/20+1/30+...+1/(2010*2011)

计算:1/2+1/6+1/12+1/20+1/30+...+1/(2010*2011)+1/(2011*2012)
计算:1/2+1/6+1/12+1/20+1/30+...+1/(2010*2011)+1/(2011*2012)

计算:1/2+1/6+1/12+1/20+1/30+...+1/(2010*2011)+1/(2011*2012)
1/2+1/6+1/12+1/20+1/30+...+1/(2010*2011)+1/(2011*2012)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+……+1/2010-1/2011+1/2011-1/2012
=1-1/2012
=2011/2012