Let an be the sequence defined by a 1 1, a 2 8, and a n a n1 2a n2 for n 3 Prove that a n 3 2 n1 2(1) n for all n N (using strong induction)

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Question: Let an be the sequence defined by a 1 = 1, a 2 = 8, and a n = a n1 + 2a n2 for

Let an be the sequence defined by a₁ = 1, a₂ = 8, and a_n = a_n1+ 2a_n2 for n 3.Prove that a_n = 3 2 ⁿ¹ + 2(1)ⁿ for all n N (using strong induction)

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