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

Toán Lớp 6: Tính A=2mũ0+ 2mũ1+2mũ2+2mũ3+2mũ4+2mũ5+…+2mũ100 Tính A

Toán Lớp 6: Tính A=2mũ0+ 2mũ1+2mũ2+2mũ3+2mũ4+2mũ5+…+2mũ100
Tính A

Comments ( 2 )

  1. A = 2^0 + 2^1 + 2^2 + 2^3 + 2^4 + 2^5 + … + 2^100
    => 2A = 2^1 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + … + 2^101
    => 2A – A = ( 2^1 + 2^2 + 2^3 + 2^4 + 2^5 + 2^6 + … + 2^101 ) – ( 2^0 + 2^1 + 2^2 + 2^3 + 2^4 + 2^5 + … + 2^100 )
    => A = 2^101 – 2^0
    Vậy A = 2^101 – 2^0
    #dtkc
     

  2. Answer
    A = 2^0 + 2^1 + 2^2 + … + 2^100
    2A = 2 . (2^0 + 2^1 + 2^2 + … + 2^100)
    2A = 2^1 + 2^2 + 2^3 + … + 2^101
    2A – A = (2^1 + 2^2 + 2^3 + … + 2^101) – (2^0 + 2^1 + 2^2 + … + 2^100)
    A = 2^101 – 2^0
    A = 2^101 – 1
    $\text{Vậy}$ A = 2^101 – 1

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