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

Toán Lớp 6: 3 + 3^2 + 3^3-.+ 3^2022 +3^2023 chứng tỏ chia hết 40 nha

Toán Lớp 6: 3 + 3^2 + 3^3…..+ 3^2022 +3^2023 chứng tỏ chia hết 40 nha

Comments ( 1 )

  1. 3 + 3^2 + 3^3…..+ 3^2022 +3^2023

    =3 + 3^2 + 3^3+3^4+…..+3^2020+3^2021+ 3^2022 +3^2023

    =(3 + 3^2 + 3^3+3^4)+…..+(3^2020+3^2021+ 3^2022 +3^2023)

    =3(1 + 3 + 3^2+3^3)+…..+3^2020(1 + 3 + 3^2+3^3)

    =3(1 + 3 + 9+27)+…+3^2020(1 + 3 + 9+27)

    =3.40 + … + 3^2020 .40

    =40.(3+3^2020) vdots 40

    Vậy biểu thức đã cho chi hết cho 40

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

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