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

Toán Lớp 6: A= 3+3^2+3^3+…+3^2019 a,thu gọn A b,tìm x thuộc n để 2a+3=3^x

Toán Lớp 6: A= 3+3^2+3^3+…+3^2019
a,thu gọn A
b,tìm x thuộc n để 2a+3=3^x

Comments ( 2 )

  1. Giải đáp:
    $\rm\#Japanese$
    a) A=3+3^2+3^3+…+3^2019
    =>3A=3.(3+3^2+3^3+…+3^2019)
    =>3A=3^2+3^3+3^4+…+3^2020
    =>3A-A=(3^2+3^3+3^4+…+3^2020)-(3+3^2+3^3+…+3^2019)
    =>2A=3^2020-3
    =>A=(3^2020-3)/2
    Vậy A=(3^2020-3)/2.
    b) 2A=3^2020-3
    =>2A+3=3^x=3^2020-3+3
    =>2A+3=3^x=3^2020
    =>3^x=3^2020
    =>x=2020
    Vậy x=2020.

  2. Giải đáp + Lời giải và giải thích chi tiết:
    a)
    A=3+3^2+3^3+…+3^2019
    3A=3^2+3^3+3^4+…+2^2020
    3A-A=(3^2+3^3+3^4+…+2^2020)-(3+3^2+3^3+…+3^2019)
    2A=3^2020-3
    A=(3^2020-3)/2
    b)
    Ta có : 2A+3=3^x
    to 3^2020-3+3=3^x
    to 3^2020=3^x
    to x=2020
    Vậy x=2020

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

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