Friday, July 20, 2018

induction - For every natural number n, 33n1 is divisible by 26.


Use induction to prove that for every natural number n, 33n1 is divisible by 26.





I can see that for n=1, 331=261. As for inductive step, assuming that the statement holds for n=k (33k1=26k), I want to show it for n=k+1 (that is, 33(k+1)1=26(k+1)). But how to proceed from here?

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