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

Toán Lớp 6: Chứng minh rằng A:3^2+3^3+3^4+3^5+….+3^2020+3^2021 chia hết cho 36

Toán Lớp 6: Chứng minh rằng A:3^2+3^3+3^4+3^5+….+3^2020+3^2021 chia hết cho 36

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    A = 3^2 + 3^3 + 3^4 + 3^5 + …+ 3^2020 + 3^2021
    A = (3^2 + 3^3) + (3^4+4^5) + … + (3^2020 + 3^2021)
    A = (3^2 + 3^3) +3^2(3^2 + 3^3) + … + 3^2018(3^2 + 3^3)
    A = (3^2 + 3^3) . (1+3^2+ … + 3^2018)
    A = 36(1+3^2 + … + 3^2018) chia hết 36(đpcm)

  2. A=3^2+3^3+3^4+3^5+…+3^2020+3^2021
    A=(3^2+3^3)+(3^4+3^5)+…+(3^2020+3^2021)
    A=1(3^2+3^4)+3^2(3^2+3^3)+…+3^2018(3^2+3^3)
    A=1.36+3^2 .36+…+3^2018 .36
    A=(1+3^2+…+3^2018).36 \vdots 36
    =>A=3^2+3^3+3^4+3^5+…+3^2020+3^2021 \vdots 36

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

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