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

Toán Lớp 6: Tính A= 1/15 + 1/35 +…+ 1/2499

Toán Lớp 6: Tính A= 1/15 + 1/35 +…+ 1/2499

Comments ( 2 )

  1. Giải đáp:
     A=8/51
    Lời giải và giải thích chi tiết:
     A=1/15+1/35+…+1/2499
    A=1/3.5+1/5.7+…+1/49.51
    ⇒2.A=2/3.5+2/5.7+…+2/49.51
    ⇒2A=1/3-1/5+1/5-1/7+…+1/49-1/51
    ⇒2A=1/3-1/51
    ⇒2A=17/51-1/51
    ⇒2A=16/51
    ⇒A=16/51:2
    ⇒A=8/51
    Vậy A=8/51

  2. Giải:
    A = 1/15 + 1/35 + … + 1/2499
    = 1/(3 . 5) + 1/(5 . 7) + … + 1/(49 . 51)
    = 1/2 . (1/3 – 1/5 + 1/5 – 1/7 + … + 1/49 – 1/51)
    = 1/2 . (1/3 – 1/51)
    = 1/2 . (17/51 – 1/51)
    = 1/2 . 16/51
    = 8/51
     

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