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

Toán Lớp 6: Cho S = $4^{0}$ + $4^{1}$ + $4^{2}$ + … + $4^{35}$ . Hãy so sánh 3S với $64^{12}$

Toán Lớp 6: Cho S = $4^{0}$ + $4^{1}$ + $4^{2}$ + … + $4^{35}$ . Hãy so sánh 3S với $64^{12}$

Comments ( 2 )

  1. S = 4^0 + 4^1 + 4^2 + … + 4^35
    4S = 4^1 + 4^2 + 4^3 + … + 4^36
    4S – S = (4^1 + 4^2 + 4^3 + … + 4^36) – (4^0 + 4^1 + 4^2 + … + 4^35)
    3S = 4^36 – 4^0
    3S = 4^36 – 1
    Có:
    64^12 = (4^3)^12 = 4^(3 . 12) = 4^36
    4^36 – 1 < 4^36
    => 3S < 64^12
    Vậy 3S < 64^12
     

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

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