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

Toán Lớp 6: M=2+2²+2³+2⁴+-…+2²⁰ Chứng minh M chia hết cho 5

Toán Lớp 6: M=2+2²+2³+2⁴+…….+2²⁰
Chứng minh M chia hết cho 5

Comments ( 1 )

  1. M = 2 + 2^2 + 2^3 + 2^4 + … + 2^20
    M = (2 + 2^2 + 2^3 + 2^4) + (2^5 + 2^6 + 2^7 + 2^8) + … + (2^17 + 2^18 + 2^19 + 2^20)
    M = 2 . (1 + 2 + 2^2 + 2^3) + 2^5 . (1 + 2 + 2^2 + 2^3) + … + 2^17 . (1 + 2 + 2^2 + 2^3)
    M = 2 . 15 + 2^5 . 15 + … + 2^17 . 15
    M = (2 + 2^5 + … + 2^17) . 15 \vdots 15
    Vậy M \vdots 5

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