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

Toán Lớp 6: a,A= 1+2+2^2+2^3+ …+ 2^100 b, B= 3^200+3^198+3^196+…+ 3^2+ 1 c, C =1/4+ 1/4^2 + 1/4^3 + … + 1/4^2021 d, D= 1/5 + (1/5) ^ 3 + ( 1

Toán Lớp 6: a,A= 1+2+2^2+2^3+ …+ 2^100
b, B= 3^200+3^198+3^196+…+ 3^2+ 1
c, C =1/4+ 1/4^2 + 1/4^3 + … + 1/4^2021
d, D= 1/5 + (1/5) ^ 3 + ( 1/5) ^5 +…+ (1/5) ^2021
e, E= 3^100- 3^99+ 3^98 – 3^97 + …+ 3^2 – 3 + 3^0

Comments ( 1 )

  1. a)
      A = 1 + 2 + 2^2 + …………. + 2^100
    2A = 2 + 2^2 + ………………. + 2^101
      A = 2^101 – 1
    b)
      B = 3^200 + 3^198 + 3^196 + …………… + 3^2 + 1
    3^2B = 3^202 + 3^200 + 3^198 + ……… + 3^4 + 3^2
    8B = 3^202 – 1
      B = (3^202 – 1)/8
    c)
      C = 1/4 + 1/(4^2) + 1/(4^3) + …………… + 1/(4^2021)
    4C = 1 + 1/4 + 1/(4^2) + …………….. + 1/(4^2020)
    3C = 1 – 1/(4^2021)
      C = (1 – 1/(4^2021)) : 3
    d)
      D = 1/5 + (1/5)^3 + (1/5)^5 + ……………… + (1/5)^2021
    (1/5)^2D = (1/5)^3 + (1/5)^5 + …………. + (1/5)^2023
    24/25D = 1/5 – (1/5)^2023
      D = (1/5 – (1/5)^2023) : 24/25
    e)
      E = 3^100- 3^99+ 3^98 – 3^97 + …………..+ 3^2 – 3 + 3^0
    3E = 3^101 – 3^100 + 3^99 – 3^98 + …………. + 3^3 – 3^2 + 3^1
    4E = 3^101 + 1
      E = (3^101 + 1)/4

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