Consider the following recurrence relation: a1 = 3, an = 2an 1-1. (a) Evaluate a2, ..., as using the recursive relation. (b) Derive an explicit formula for an as follows. (i) First, observe the pattern and write each of a₁, a2, ..., a6 in this form. (ii) Next, state the formula for an for all n = 1,2, .... (Do not prove it.)

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