2/(1*3)+2/(3*5)+2/(5*7)+2/(7*9-查字典问答网
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来自梅勇的问题

  2/(1*3)+2/(3*5)+2/(5*7)+2/(7*9)+.+2/(95*97)+2/(97*99)=?需求讲解

  2/(1*3)+2/(3*5)+2/(5*7)+2/(7*9)+.+2/(95*97)+2/(97*99)=?

  需求讲解

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2020-03-2205:16
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孙论强

  2/(1*3)+2/(3*5)+2/(5*7)+2/(7*9)+.+2/(95*97)+2/(97*99)

  =(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+.+(1/95-1/97)+(1/97-1/99)

  =1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+.+1/95-1/97+1/97-1/99

  =1-1/99

  =98/99

2020-03-22 05:20:53
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