Đáp án: a, n ∈ { 2,0,4}
b, n ∈ { 2, 4, 16}
c, n ∈ {9}
a, 3n \(\vdots \) n-1
=> 3n - 3 + 3 \(\vdots \) n-1
=> 3 ( n-1) + 3 \(\vdots \) n-1
=> 3 \(\vdots \) n-1
=> n-1 ∈ Ư (3)
=> n -1 ∈ { 1, -1, 3, -3}
=> n ∈ {2, 0, 4, -2}
Mà n ∈ N => n ∈ {2, 0, 4}
b, 2n + 7 \(\vdots \) n-3
=> 2n - 6 + 13 \(\vdots \) n-3
=> 2 ( n -3 ) + 13 \(\vdots \) ( n-3)
=> 13 \(\vdots \) n-3
=> n-3 ∈ Ư (13)
=> n-3 ∈ {-13, -1, 1, 13}
=> n ∈ { -10 , 2, 4, 16}
mà n ∈ N => n ∈ { 2,4,16}
c, 5n -1 \(\vdots \) n+ 2
=> 5n + 10 - 11 \(\vdots \) n+2
=> 5 ( n+2) - 11 \(\vdots \) n+2
=> 11 \(\vdots \) n +2
=> n+ 2 ∈ Ư (11)
=> n + 2 ∈ { -11, -1, 1, 11}
=> n ∈ { -9, -3, -1, 9}
mà n ∈ N => n ∈ {9}