Question

[bngan ng]

tìm n ϵ N sao cho 12 ⋮ ( 2n-1)

Answer 1

[HT.Phong (9A5)]

12 ⋮ 2n - 1

`=>2n - 1∈Ư(12)`

`=>2n-1∈{1;-1;2;-2;3;-3;4;-4;6;-6;12;-12}`

Mà: `n ∈ nN=>2n-1` luôn là số lẻ 

và: `2n-1>=-1` 

`=>2n-1∈{-1;1;3}`

`=>2n∈{0;2;4}`

`=>n∈{0;1;2}`

Answer 2

[Nguyễn Tuấn Tú]

Ta có:
+) \(12⋮\left(2n-1\right)\)
+) \(n\inℕ\Rightarrow\left(2n-1\right)\inℕ\)
Suy ra:
\(\left(2n-1\right)\inƯ\left(12\right)=\left\{1,2,3,4,6,12\right\}\)
\(\Rightarrow n\in\left\{1;1,5;2;2,5;3,5;6,5\right\}\)
Mà \(n\inℕ\) nên:
\(n\in\left\{1,2\right\}\)
Vậy \(n\in\left\{1,2\right\}\)