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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 6: Giúp mình với. E=1/6+1/66+1/176+-..+1/248496

Toán Lớp 6: Giúp mình với.
E=1/6+1/66+1/176+……+1/248496

Comments ( 2 )

  1. Lời giải chi tiết:
    E=1/6+1/66+1/176+…+1/248496
    E=1/5.(5/(1xx6)+5/(6xx11)+5/(11xx16)+…+5/(496xx501)
    E=1/5.(1-1/6+1/6-1/11+1/11-1/16+…+1/496-1/501)
    E=1/5.(1-1/501)
    E=1/(5).(500)/501
    E=100/501

  2. Answer
    E = 1/6 + 1/66 + 1/176 + … + 1/248496
    E = 1/{1 . 6} + 1/{6 . 11} + 1/{11 . 16} + … + 1/{496 . 501}
    E = 5/5 . (1/{1 . 6} + 1/{6 . 11} + 1/{11 . 16} + … + 1/{496 . 501})
    E = 1/5 . (5/{1 . 6} + 5/{6 . 11} + 5/{11 . 16} + … + 5/{496 . 501})
    E = 1/5 . (1 – 1/6 + 1/6 – 1/11 + 1/11 – 1/16 + … + 1/496 – 1/501)
    E = 1/5 . (1 – 1/501)
    E = 1/5 . (501/501 – 1/501)
    E = 1/5 . 500/501
    E = 100/501
    $\text{Vậy}$ E = 100/501

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222-9+11+12:2*14+14 = ? ( )