1/2+1/6+1/12+1/20+.+1/(199×200)＝?

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答案和解析

1/2+1/6+1/12+1/20+.+1/(199×200)＝
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/199-1/200)=
=1-1/200=199/200.

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