Design and Analysis of Recursive Algorithms - IT Assignment Help

Assignment Task

Q1)
This question is concerned with the design and analysis of recursive algorithms. You are given a problem statement as shown below. This problem is concerned with performing calculations on a sequence A of real numbers. Whilst this could be done using a conventional loop-based approach, your answer must be developed using a recursive algorithm.

Your recursive algorithm should use a single recursive structure to find the sum values and should not use two separate instances of a recursive design.
(a) Produce a pseudo code design for a recursive algorithm to solve this problem. Please write your answer in the answer sheet.
(b) Draw a call-stack diagram in your answer sheet to show the application of your recursive algorithm when called using the sequence.
(c) Write down the set of recurrence equations for your recursive algorithm. The recurrence equations in the answer sheet should take a form like this.

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