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

Toán Lớp 6: 2^100 – ( 1 + 2 + 2^2 +2^3+-+2^99) giải hộ mình mình đang cần gấp ạ

Toán Lớp 6: 2^100 – ( 1 + 2 + 2^2 +2^3+….+2^99) giải hộ mình mình đang cần gấp ạ

Comments ( 2 )

  1. 2^100-(1+2+2^2+…+2^99)
    =2^100-(2+2^2+2^3+…+2^100):2
    =2^100-[(2+2^2+2^3+…+2^100)-(1+2+2^2+2^3+…+2^99)]
    =2^100-[2^100-1]
    =2^100-2^100+1
    =0+1
    =1

  2. $\text{#Táo vàng}$
    $\text{Đặt}$ 1 + 2 + 2^{2} + … + 2^{99} $\text{là A}$
    2A = 2 . (1 + 2 + 2^{2} + … + 2^{99})
    2A = 2 + 2^{2} + 2^{3} + … + 2^{100}
    2A – A = (2 + 2^{2} + 2^{3} + … + 2^{100}) – (1 + 2 + 2^{2} + … + 2^{99})
    A = 2^{100} – 1
    => 2^{100} – (2^{100} – 1)
    => 2^{100} – 2^{100} + 1
    => 1
    $\text{Vậy}$ 2^{100} – (1 + 2 + 2^{2} + … + 2^{99})

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