Question

CM:\(55^{n+1}-55^n⋮54\)

Answer 1

\(55^{n+1}-55^n\)

\(=55^n.55-55^n\)

\(=55^n\left(55-1\right)\)

\(=55^n.54\)

Vì \(54⋮54\Rightarrow55^n.54⋮54\)

Hay \(55^{n+1}-55^n⋮54\)

Answer 2

Ta có: 55^{n + 1} - 55ⁿ

= 55ⁿ . 55 - 55ⁿ

= 55ⁿ(55 - 1)

= 55ⁿ . 54 \(⋮\) 54

Vậy: 55^{n + 1} - 55ⁿ \(⋮\) 54.