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

Toán Lớp 6: Giúp mình A=1+2²+2³+…+2²⁰²¹+2²⁰²²

Toán Lớp 6: Giúp mình
A=1+2²+2³+…+2²⁰²¹+2²⁰²²

Comments ( 2 )

  1. A = 1 + 2^2 + 2^3 + … + 2^2021 + 2^2022
    2A = 2 + 2^3 + 2^4 + … + 2^2022 + 2^2023
    2A – A = ( 2 + 2^3 + 2^4 + … + 2^2022 + 2^2023 ) – ( 1 + 2^2 + 2^3 + … + 2^2021 + 2^2022 )
    A  = 2^2023 – 1
     

  2. Giải đáp + giải thích các bước giải :
    A = 1 + 2^2 + 2^3 + .. + 2^2002 $\\$ 2A = 2+2^3 + … + 2^2003 $\\$=> 2A – A = 2+2^3 + … + 2^2003 -( 1 + 2^2 + 2^3 + .. + 2^2002) $\\$ A = 2+2^3 + … + 2^2003 – 1 – 2^2 – 2^3 – .. – 2^2002 $\\$ A = 2^2003 + 2 – 1 – 2^2 $\\$ A = 2^2003 -3
     

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