Divisibility of an Exponential Difference

Divisibility of an Exponential Difference

IB Year 5 | Grade 11

6 marks

Prove by mathematical induction that \(8^n - 3^n\) is divisible by 5 for every \(n\in\mathbb Z^+\).[6]

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Answer:\(5\mid(8^n-3^n)\) for every \(n\in\mathbb Z^+\).

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