Question: i need this proved by induction. please show all steps, including base case, basis step, inductive hypothesis, please be detailed. thanks and i.need it asap.

i need this proved by induction. please show all steps, including base case, basis step, inductive hypothesis, please be detailed. thanks and i.need it asap.
3. Let ao, a, a2, be the sequence defined by the following recurrence relation: a0 = 2 a1-2 a2 = 6 ai = 3a1-3 for i :3 Prove that an is even for any nonnegative integer n
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