Analysis Of Recursive Algorithm Through Recurrence Relations:
Introduction: Recursive algorithm are a common type of algorithm,used in a computer science and mathematics. They are algorithms that solve a problem by breaking it down into smaller instances of the same algorithm. The process cotinues until a base case is reached where the solution can be easily computed. One of the chalenges of working with recursive algorithm is analyzing their time complexity. The time complexity of an algorithm describes how the running time of the algorithms grows as the size of the algorithm grows as the size of the input increses. For examples,An algorithm that takes twice as long to solve a problem of size n+1,as it does to solve a problem of sizevn has a time complexity of o(2^n). Recurence relations provide a powerfull tool for analyzing the time complexity of recursive algorithms. A recurence relation is an equation that defines a sequence recursively in terms of its previous values. In the context of analysing recursive algorithm,recurence relations de