Let a 1 2 and a 2 9 For n 3, a n 2a n 1 3a n 2 Prove using induction that a n 3 n for all positive integers n

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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, a_n= 2a_n-1 + 3a_n-2. Prove using induction that a_n < 3ⁿ for all positive integers n.

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