Question: (15 points) Consider the following recursive algorithm for positive integer n ALGORITHM S(n) //Input: A positive integer n if n = 1 return 1 else

(15 points) Consider the following recursive algorithm for positive integer n

(15 points) Consider the following recursive algorithm for positive integer n ALGORITHM S(n) //Input: A positive integer n if n = 1 return 1 else return S(n-1) + n *n*n (a) What does this algorithm compute? (b) Set up a recurrence relation for the multiplication as the basic operation (c) Provide an initial condition for the recurrence relation (d) Solve the recurrence relation using backward substitution method. Present the intermediate steps and the time complexity of the results

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