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

Toán Lớp 6: Cho S =1+4+4^2+4^3+-…+4^31 so sanh S với 2×4^31

Toán Lớp 6: Cho S =1+4+4^2+4^3+…….+4^31 so sanh S với 2×4^31

Comments ( 2 )

  1. S = 1 + 4 + 4^2 + 4^3 + … + 4^31
    4S = 4 + 4^2 + 4^3 + 4^4 + …. + 4^32
    4S – S = 4^32 – 1
    3S = 4^32 – 1
    S = (4^32 – 1) : 3
    S = (4^31 . 4 – 1) : 3
    Vì:
    (4^31 . 4 – 1) : 3 >  2 . 4^31
    ⇒ S > 2 . 4^31
     

  2. #tèo
    S=1+4+4^2+4^3+…+4^31
    4S=4+4^2+4^3+4^4+…+4^32
    4S-S=(4+4^2+4^3+4^4+…+4^32)-(1+4+4^2+4^3+…+4^31)
    3S=4^32-1
    S=(4^32-1):3
    S=(4^31xx4-1):3
    Mà (4^31xx4-1):3>2xx4^31
    =>S>2xx4^31

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