9231 P13 - Jun 2014 - Q3 - 7 marks
6257
It is given that \(\phi(n)=5^{n}(4 n+1)-1\), for \(n=1,2,3, \ldots\). Prove, by mathematical induction, that \(\phi(n)\) is divisible by 8 , for every positive integer \(n\).
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