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

Toán Lớp 6: tính A=2+2^2+2^3+…+2^20 B=3+3^2+3^3+…+3^100

Toán Lớp 6: tính
A=2+2^2+2^3+…+2^20
B=3+3^2+3^3+…+3^100

Comments ( 2 )

  1. A = 2 + 2^2 + 2^3 + ….. + 2^20
    => 2A = 2 + 2^2 + …. + 2^20 + 2^21
    => 2A – A = (2 + 2^2 + …. + 2^21) – (2 + 2^2 + …. + 2^20)
    => A = 2^21
    ————
    B = 3 + 3^2 + 3^3 + …. + 3^100
    => 3B = 3 + 3^2 + …. + 3^100 + 3^101
    => 3B – B = (3 + 3^2 + …. + 3^101) – (3 + 3^2 + …. + 3^100)
    => 2B = 3^101
    => B = frac{3^101}{2}

  2. Lời giải và giải thích chi tiết:
    A= 2+2^2+2^3+…+2^20
    A= 2+4+8+…+1048576
    A= 6+8+…+1048576
    A= 14+1048576
    A= 1048590
    ————————————————————————————————————–
    B= 3+3^2+3^3+…+3^100
    3B-B= 3^101-3
    Vậy 3^n=101

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

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