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7. Prove that if a = 1, a1 = 4, and an = 6an-1 - 9an-2 for n 2 2, then an = 39-4(3+n) for

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7. Prove that if a = 1, a1 = 4, and an = 6an-1 - 9an-2 for n 2 2, then an = 39-4(3+n) for all n > 0. Show all your algebraic steps! Basic case(s): Inductive Hypothesis: Inductive step - we need to prove

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