(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+…+(-1/2011*1/2012)找规律计算

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(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+…+(-1/2011*1/2012)找规律计算
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(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+…+(-1/2011*1/2012)找规律计算
(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+…+(-1/2011*1/2012)找规律计算

(-1*1/2)+(-1/2*1/3)+(-1/3*1/4)+…+(-1/2011*1/2012)找规律计算
=-1(1-1/2+1/2-1/3+1/3-1/4+……-1/2012)
=-1×(1-1/2012)
=-2011/2012