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1/1x3x5+1/3x5x7+1/5x7x9+…+1/95x97x99简便算法怎么算
题目详情
1/1x3x5+1/3x5x7+1/5x7x9+…+1/95x97x99简便算法怎么算
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答案和解析
1/1x3x5+1/3x5x7+1/5x7x9+…+1/95x97x99=1/4（1/(1*3)-1/(3*5)+1/(3*5)-1/(5*7)+.+1/(95*97)-1/(97*99)= (1/4) ( 1/(1x3) - 1/(97x99)= (1/4) (1/3 - 1/9603]=800/9603
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