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

Toán Lớp 6: cho A = 7+7^2+7^3+7^4+…+7^118+7^119+7^120 chung minh A chia het cho 57

Toán Lớp 6: cho A = 7+7^2+7^3+7^4+…+7^118+7^119+7^120 chung minh A chia het cho 57

Comments ( 2 )

  1. Lời giải và giải thích chi tiết:
    A = 7 + 7^2 + 7^3 + ……… + 7^120
    A = (7 + 7^2 + 7^3) + …….. + (7^118 + 7^119 + 7^120)
    A = 7(1 + 7 + 7^2) + ……… + 7^118(1 + 7 + 7^2)
    A = 57(7 + ………….. + 7^118) \vdots 57

  2. ~ Bạn tham khảo ~
    7+7^2+7^3+7^4+….+7^118 + 7^119+7^120
    =7 (1+7^1+7^2)+(7^4+7^5+7^6)+…..+(7^118+7^119+7^120)
    = 7.57 + 7^4 . ( 1+7+49) +….+7^118.(1+7+49)
    = 7.57 + 7^4 + 57 + ….. + 7^118 + 57
    = 57 . (7+7^4+…..+7^118)
    Mà 57 vdots 57
    Vậy 7+7^2+7^3+7^4+….+7^118 + 7^119+7^120 vdots 57
    $#Vịt vàng$

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

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