Question: Let a 0 = 1, a n = 6a n1 + 3 n be the recurrence relation of algorithm A and T(1) = 1, T(n)

Let a0 = 1, an = 6an1 + 3n be the recurrence relation of algorithm A and

T(1) = 1, T(n) = 2T(n/5)+n be the recurrence relation of algorithm B.

  1. Find the solution for both relations using the Characteristic Polynomial method.
  2. Without proof, find Big-Oh for both algorithms.
  3. Which algorithm is faster? Justify your answer using Big-Oh notation.

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