E = 1/6 + 1/12 + 1/20 +…..+ 1/2450

Question

E = 1/6 + 1/12 + 1/20 +…..+ 1/2450

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Eirian 5 years 2021-05-20T10:56:26+00:00 2 Answers 37 views 0

Answers ( )

  1. Ben
    0
    2021-05-20T10:57:40+00:00
    Reply

    Đáp án:

     `E=12/25`

    Giải thích các bước giải:

    `E = 1/6 + 1/12 + 1/20 +…..+ 1/2450`

    `E=1/2.3+1/3.4+1/4.5+…+1/49.50`

    `E=1/2-1/3+1/3-1/4+1/4-1/5+…+1/49-1/50`

    `E=1/2-(1/3-1/3+1/4-1/4+1/5-…-1/49+1/50)`

    `E=1/2-1/50`

    `E=12/25`

  2. binhan
    0
    2021-05-20T10:57:53+00:00
    Reply

    `E= 1/6 + 1/12 + 1/20 +…+1/2450`

    `E= 1/2.3 + 1/3.4 + 1/4.5 +….+ 1/49.50`

    `E= 1/2 – 1/3 + 1/3 – 1/4+ 1/4 -1/5+…+ 1/49 – 1/50`

    `E= 1/2 -(1/3 -1/3) -(1/4-1/4)-…..-(1/49-1/49) – 1/50`

    `E= 1/2 – 1/50`

    `E=12/25`

    Vậy `E= 12/25`

     

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