Provide an example of a recursive function in which the amount of work on each activation is constant. Provide the recurrence equation and the initial condition that counts the number of operations executed. Specify which operations you are counting and why they are the critical ones to count to assess its execution time. Draw the recursion tree for that function and determine the Big- by determining a formula that counts the number of nodes in the tree as a function of n.

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Provide an example of a recursive function in which the amount of work on each activation is constant: This short method returns the sum of the first n integers in the array'a int LinearSuml nt a, n) return a[0] lse return li n 1) a[n-1 Recurrence equation precondition: integer array with at least n elements. n 0 T(1 a10 T(n) T(n-1) a[n-1 The number of operations being counte are the base case plus the recursive calls. The base case stop the recursive ca onc LL because it decrements n eaches the base case unt it r Recursion Tree n-1 n-2 This algorithm complexity is o(n), the method wi ake a total of n calls each time it is executed. The recursive ca s important