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

Toán Lớp 7: A= 1 – 2 + 2^2 – 2^3 + … + 2^2018

Toán Lớp 7: A= 1 – 2 + 2^2 – 2^3 + … + 2^2018

Comments ( 1 )

  1. $\\$
    A = 1 – 2 + … – 2^{2017} + 2^{2018}
    Nhân 2 vào ta vế ta được :
    -> 2A = 2 (1-2+…-2^{2017}  + 2^{2018)
    -> 2A = 2 – 2^2 + … – 2^{2018} + 2^{2019}
    Lấy 2A + A vế với vế ta được :
    -> 2A + A = (2 – 2^2 + … – 2^{2018} + 2^{2019}) + (1 – 2 + … – 2^{2017} + 2^{2018})
    -> 3A = 2^{2019} + 1
    -> A = (2^{2019} + 1)/3
    Vậy A=(2^{2019}+1)/3
     

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

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