1/4+1/28+1/70+.+1/9700
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1个回答

  • 原式=1/(1x4)+1/(4x7)+1/(7x10)……+1/(97x100)《分母拆开》

    =1/3x【(1-1/4)+(1/4-1/7)+(1/7-1/10)+……+(1/97-1/100)】《分母由乘变减,注意乘1/3》

    =1/3x(1-1/100)《消去》

    =33/100

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