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Induction/6^(n+2)+7^(2n+1) divisible by 43/Exercise
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Show, by induction, that for every
n
∈
N
{\displaystyle {}n\in \mathbb {N} }
, the number
6
n
+
2
+
7
2
n
+
1
{\displaystyle 6^{n+2}+7^{2n+1}}
is a multiple of
43
{\displaystyle {}43}
.
To solution