Question: (b) Examine the following recursive algorithm: ALGORITHM Rec(n) //Input: A positive integer n if n = 1 return 1 else return Rec(n-1)+n*n*n i. Explain what

(b) Examine the following recursive algorithm: ALGORITHM Rec(n) //Input: A positive

(b) Examine the following recursive algorithm: ALGORITHM Rec(n) //Input: A positive integer n if n = 1 return 1 else return Rec(n-1)+n*n*n i. Explain what does this algorithm compute? [2 marks] ii. Produce a recurrence relation for this algorithm. [3 marks] iii. Solve the recurrence relations derived in part ii above using the backward substitution method. [4 marks)

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