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找规律题:(1/(1*3))+(1/(2*4))+(1/(3*5)+...+(1/(9*11))的计算过程
规律和答案都需要
人气:373 ℃ 时间:2020-05-28 05:03:13
解答
(1/(1*3))+(1/(2*4))+(1/(3*5)+...+(1/(9*11))
=(1-1/3)/2+(1/2-1/4)/2+(1/3-1/5)/2+……+(1/9-1/11)/2
=(1+1/2-1/10-1/11)/2
=72/55
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