Question: Consider the following recursive algorithm for computing the sum of the first n cubs: S(n) = 1 +2+ +n. //Algorithm S(n) // Input: A

Consider the following recursive algorithm for computing the sum of the first n cubs: S(n) = 1 +2+ +n. //Algorithm S(n) // Input: A postive integer n //Output: The sum of the first n cubes if n=1 return 1 else return S(n-1) + n*n*n Set up and solve a recurrence relation for the number of times the algorithm is executed. How does this algorithm compare with the straightforward nonrecursive algorithm for computing the sum?

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