Question: 1. Let a1 = 1, a2 = 9, and an = 2an1 + 3an2 for n > 2. Prove that an 3 n for all

1. Let a1 = 1, a2 = 9, and an =

1. Let a1 = 1, a2 = 9, and an = 2an1 + 3an2 for n > 2. Prove that an 3 n for all positive integers n, using strong induction. Please show basis step, inductive hypothesis, and induction step very clearly.

1. Let a1-1, a2-9, and an-2an-1 + 3an-2 for n 2. Prove that an 3" for all positive integers n

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