xercise 3. Given the following recurrence relation: T(1) = 1       T(n) = T(n − 1) + n2 for n ≥ 2 Indicate a methodology you can use to evaluate a closed form expression Provide the closed form expression and show the procedure to obtain it Provide a recursive algorithm in pseudo code to calculate a generic T(n) Provide an analysis of the algorithm above

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Merge sort

Merge Sort recursively sorts a given collection of numbers or elements by using the divide and conquer strategy in less time. It is one of the most used algorithms, with the worst-case time complexity of O (n log n). It was invented by John Von Neumann. The algorithm continuously divides an array into sub-arrays until each sub-array consists of a single element. It then merges those sub-arrays to produce a sorted array.