(-1x1/2)+(-1/2x2/3)+······+(-1/2011x1/2012)=?
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(-1x1/2)+(-1/2x2/3)+······+(-1/2011x1/2012)=?
(-1x1/2)+(-1/2x2/3)+······+(-1/2011x1/2012)=?
(-1x1/2)+(-1/2x2/3)+······+(-1/2011x1/2012)=?
第二项是不是(-1/2×1/3)
原式=(-1+1/2)+(-1/2+1/3)+.+(-1/2011+1/2012)=-1+1/2012=-2011/2012
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