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1/(1×3×5) +1/(3×5×7)+1/(5×7×9)+…+1/(11×13×15)这个式子怎么用简便运算
人气:310 ℃ 时间:2020-05-06 18:04:41
解答
1/(1×3×5) +1/(3×5×7)+1/(5×7×9)+…+1/(11×13×15)=1/2x[1/1x3-1/3x5]+1/2[1/3x5-1/5x7]+.+1/2[1/11x13-1/13x15]=1/2[1/1x3-1/3x5+1/3x5-1/5x7+.+1/11x13-1/13x15]=1/2x[1/1x3-1/13x15]=1/2x64/195=32/195
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