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Show that 4 n is a solution to the recurrence relation a n = 3 a n - 1 + 4 a n - 2

Show that

4^{n}

is a solution to the recurrence relation

a_{n} = 3 a_{n - 1} + 4 a_{n - 2} .

Can you show handwritten steps please? I am struggling and need more explaination.

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