Original post by maybemiro
Prove f(n)=2^n+6^n is divisible by 8.
I normally use f(k+1)-f(k) to prove such statements, however I am stuck on this question.
I normally use f(k+1)-f(k) to prove such statements, however I am stuck on this question.
Is it an induction question? Probably easier to do with other methods but you could note that the n+1 step is
2.2^n + 6.6^n
So can you "add 0" to this, so add/subtact a 2^n term which makes the inductive argument go?
Or split the 6.6^n term up along the same lines. You can subtract the nth term but its just an extra step without any advantage.
(edited 4 months ago)
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