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数学
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1/1x2x3+1/2x3x4+1/3x4x5+.+1/9x10x11=
人气:427 ℃ 时间:2019-12-19 01:58:37
解答
1/n(n+1)(n+2)=1/2*[1/n-2/(n+1)+1/(n+2)]
原式=1/2*(1-2*1/2+1/3+1/2-2*1/3+1/4+.+1/9-2*1/10+1/11)
=1/2*(1-1/2-1/10+1/11)=27/110
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