Question by Lê Quốc Trần Anh - Discuss with MathYouLike

Lê Quốc Trần Anh Coordinator

12/05/2018 at 11:26

Prove that: \(55^{n+1}-55^n⋮54\left(\forall n\in N\right)\)

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Kaya Renger Coordinator 12/05/2018 at 12:25

\(55^{n+1}-55^n=55^n\left(55-1\right)=55^n.54⋮54\)

So ....
Lê Quốc Trần Anh selected this answer.
Nine 12/05/2018 at 13:03

We have :

\(55^{n+1}-55^n=55^n\cdot\left(55-1\right)=55^n\cdot54\)

Because \(55^n\cdot54⋮54\)

So \(55^{n+1}-55^n⋮54\)

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