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

Toán Lớp 6: bài 2 a, A= 2 + 2 mũ 2 + 2 mũ 3 + –…+2 mũ 2017 b, B= 1 + 3 mũ 2 + 3 mũ 4 + –…+ 3 mũ 2018 c, C= 5 + 5 mũ 2 – 5 mũ 3

Toán Lớp 6: bài 2
a, A= 2 + 2 mũ 2 + 2 mũ 3 + ………..+2 mũ 2017
b, B= 1 + 3 mũ 2 + 3 mũ 4 + ………..+ 3 mũ 2018
c, C= 5 + 5 mũ 2 – 5 mũ 3 + 5 mũ 4 -…….- 5 mũ 2017 + 5 mũ 2018

Comments ( 2 )

  1. a, A = 2 + 2^2 + 2^3 + …. + 2^2017
    2A = 2^2 + 2^3 + 2^4 + …. + 2^2018
    2A – A = ( 2^2 + 2^3 + 2^4 + …. + 2^2018 ) – ( 2 + 2^2 + 2^3 + …. + 2^2017 )
    A = 2^2018 – 2
    b, B = 1 + 3^2 + 3^4 + …. + 3^2018
    3^2 . B = 3^2 + 3^4 + …. + 3^2018
    9B = 3^2 + 3^4 + …. + 3^2018
    9B – B = ( 3^2 + 3^4 + …. + 3^2018 ) – ( 1 + 3^2 + 3^4 + …. + 3^2018 )
    8B = 3^2018 – 1
    8 = ( 3^2018 – 1 )/8
    c, C = 5 + 5^2 – 5^3 + 5^4 – …. – 5^2017 + 5^2018
    5C = 5^2 + 5^3 – 5^4 + 5^5 – …. – 5^2018 + 5^2019
    5C + C = ( 5^2 + 5^3 – 5^4 + 5^5 – …. – 5^2018 + 5^2019 ) + ( 5 + 5^2 – 5^3 + 5^4 – …. – 5^2017 + 5^2018 )
    6C = 5^2 . 2 + 5+ 5^2019
    6C = 25 . 2 + 5 + 5^2019
    6C =55 + 5^2019
    C = ( 55 + 5^2019 )/6

  2. a)
    A = 2 + 2^2 + 2^3 + ……….. + 2^2017
    2A = 2^2 + 2^3 + 2^4 + ……… + 2^2018
    A = 2^2018 – 2
    b)
    B = 1 + 3^2 + 3^4 + ……….. + 3^2018
    9B = 3^2 + 3^4 + 3^6 + ………. + 3^2020
    8B = 3^2020 – 1
    B = (3^2020 – 1)/8
    c)
    C = 5 + 5^2 – 5^3 + 5^4 – ………. – 5^2017 + 5^2018
    5C = 5^2 + 5^3 – 5^4 + 5^5 – …………. – 5^2018 + 5^2019
    6C = (5^2 + 5^3 – 5^4 + 5^5 – …………. – 5^2018 + 5^2019) + (5 + 5^2 – 5^3 + 5^4 – ………. – 5^2017 + 5^2018)
    6C = 5 + 2 . 5^2 + 5^2019
    6C = 55 + 5^2019
    C= (55 + 5^2019)/6

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