Question: Consider the following recurrence equation: s(2n) = 2s(n) + 3; where n = 1, 2, 4, 8, 16, .... s(1) = 1 Calculate recursively s(8)

Consider the following recurrence equation:

s(2n) = 2s(n) + 3; where n = 1, 2, 4, 8, 16, ....

s(1) = 1

  1. Calculate recursively s(8)
  2. Find an explicit formula for s(n)
  3. Use the formula of part (b) to calculate s(1), s(2), s(4), and s(8)
  4. Use the formula of part(b) to prove the recurrence equation s(2n) = 2s(n) + 3

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