Critique the following statement: an iterative algorithm will usually run faster than an equivalent recursive algorithm. Provide specific evidence and/or and example to support your arguement

(a) Devise a recursive algorithm to  nd a2n, where the inputs to the algorithm consist ofa which is a real number and n which is a positive integer. Hint: Use the equalitya2n+1= (a2n)2.(b) Assume that you are not allowed to use any function for computing the powers. Devisean iterative algorithm for solving the same problem.(c) Analyze the running times of the two approaches.

Compare and contrast the problem-solving strategies of iterative and recursive methods. It's important to know when to utilize recursion and when to use iteration. Provide supporting evidence that differs from the examples included in the presentation slides to back up your claim.

What is the difference between a recursive and an iterative algorithm?