Question: Let the sequence defined by: a = 1, a2 = 8, an = an-1 + 2an-2 for n 3 Prove that: an = 3

Let the sequence defined by: a = 1, a2 = 8, an = an-1 + 2an-2 for n 3 Prove that: an = 3 x 2n-1 + 2(1)n for

Let the sequence defined by: a = 1, a2 = 8, an = an-1 + 2an-2 for n 3 Prove that: an = 3 x 2n-1 + 2(1)n for all n N a) What is the Inductive hypothesis? b) What do you need to prove in Induction Step? c) Construct the whole proof with the proof structure.

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