Question: 3 2.4.3 Consider the following recursive algorithm for computing the sum of the first n cubes: S(n)= 1 +2+...+ ALGORITHM S(n) I/Input: A positive integer

 3 2.4.3 Consider the following recursive algorithm for computing the sum

3 2.4.3 Consider the following recursive algorithm for computing the sum of the first n cubes: S(n)= 1 +2+...+ ALGORITHM S(n) I/Input: A positive integer n 11Output: The sum of the first n cubes if n = 1 return 1 else return S(n-1) +n + non a. Set up and solve a recurrence relation for the number of times the algo-rithm's basic operation is executed. b. How does this algorithm compare with the straightforward nonrecursive algorithm for computing this sum

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