Question: Consider the sequence {an}n>1 defined recursively by a1 2 and = ak = 3ak-1 + 2 for each integer k 2. a) Calculate the

Consider the sequence {an}n>1 defined recursively by a1 2 and = ak

Consider the sequence {an}n>1 defined recursively by a1 2 and = ak = 3ak-1 + 2 for each integer k 2. a) Calculate the values of a2, a3, a4 and a5. b) Guess an explicit formula for this sequence and prove that your guess is correct.

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