Question

Consider the following recursive equation s(2n) = 2s(n) + 3; where n = 1, 2, 4,...

Consider the following recursive equation s(2n) = 2s(n) + 3; where n = 1, 2, 4, 8, 16, ...

s(1) = 1

a. Calculate recursively s(8)

b. Find an explicit formula for s(n)

c. Use the formula of part b to calculate s(1), s(2), s(4), and s(8)

d Use the formula of part b to prove the recurrence equation s(2n) = 2s(n) + 3

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