【1/3+1/15+1/35+1/63+1/99=?】-查字典问答网
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  【1/3+1/15+1/35+1/63+1/99=?】

  1/3+1/15+1/35+1/63+1/99=?

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2020-03-0307:14
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  1/3+1/15+1/35+1/63+1/99

  =1/2[(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)]

  =1/2(1-1/11)

  =1/2×10/11

  =5/111/3+1/15+1/35+1/63+1/99

  =1/2[(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)]

  =1/2(1-1/11)

  =1/2×10/11

  1/3+1/15+1/35+1/63+1/99

  =1/2[(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)]

  =1/2(1-1/11)

  =1/2×10/11

  =5/11=5/111/3+1/15+1/35+1/63+1/99

  =1/2[(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)]

  =1/2(1-1/11)

  =1/2×10/11

  1/3+1/15+1/35+1/63+1/99

  =1/2[(1-1/3)+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)]

  =1/2(1-1/11)

  =1/2×10/11

  =5/11=5/11

2020-03-03 07:17:19
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