1-1/2-1/6-1/12-1/20-.1/2011*2012
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![1-1/2-1/6-1/12-1/20-.1/2011*2012](/uploads/image/z/762375-39-5.jpg?t=1-1%2F2-1%2F6-1%2F12-1%2F20-.1%2F2011%2A2012)
1-1/2-1/6-1/12-1/20-.1/2011*2012
1-1/2-1/6-1/12-1/20-.1/2011*2012
1-1/2-1/6-1/12-1/20-.1/2011*2012
1-1/2-1/6-1/12-1/20-.1/2011*2012
=1-(1/1×2+1/2×3+1/3×4+1/4×5+.+1/2011*2012)
=1-(1-1/2+1/2-1/3+.+1/2011-1/2012)
=1-(1-1/2012)
=1-1+1/2012
=1/2012