Question: Let a 1 = 2 and a 2 = 9. For n 3, a n = 2a n -1 + 3a n -2 . Prove

Let a1 = 2 and a2 = 9. For n 3, an= 2an-1 + 3an-2. Prove using induction that an < 3n for all positive integers n.

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