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Let p(n) = 3^(3n−2) + 2^(3n+1) for each n ∈ N Show that p(n + 1)...

Let p(n) = 3^(3n−2) + 2^(3n+1) for each n ∈ N

Show that p(n + 1) − p(n) = 26(3^(3n−2 )) + 7(2^(3n+1)).

Prove that p(n) is divisible by 19

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