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

Toán Lớp 6: Tìm n €N A/. 3n+2 chia hết cho n-1 B. 2n-6 chia hết cho n – 1

Toán Lớp 6: Tìm n €N
A/. 3n+2 chia hết cho n-1
B. 2n-6 chia hết cho n – 1

Comments ( 1 )

  1. a) Do n – 1 vdots n -1 ∀n∈N
    => 3n – 3 vdots n -1 ∀n∈N
    => 3n+2 – (3n – 3) vdots n -1
    => 3n+2 – 3n + 3 vdots n -1
    => 5 vdots n -1
    mà n ∈ N
    => n – 1 ∈ Ư(5) = {1;5}
    => n ∈ {2;5}
    Vậy n = 2,5 thì 3n+2 vdots n-1
    b) Do n – 1 vdots n -1 ∀n∈N
    => 2n – 2 vdots n -1 ∀n∈N
    => 2n – 2 – (2n-6) vdots n -1
    => 2n – 2 – 2n+6 vdots n -1
    => 4 vdots n -1
    mà n ∈ N
    => n – 1 ∈ Ư(4) = {1;2;4}
    => n ∈ {2;3;5}
    Vậy n = 2;3;5 thì 2n-6 vdots n – 1

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

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