Given an array of length N, you need to find and return the sum of all elements of the array.Do this recursively.Detailed explanation

Sure, here is a step-by-step explanation of how you can find the sum of all elements in an array recursively:

1. First, define a function, let's call it sumArray, that takes two parameters: the array and its length N.

2. In the function, check if the length N is zero. If it is, return 0. This is the base case of the recursion, which means when the array has no elements, the sum is 0.

3. If N is not zero, call the sumArray function recursively with the array and N-1 as parameters, and add the last element of the array to the result. In other words, return the result of sumArray(array, N-1) + array[N-1].

4. Finally, call the sumArray function with the original array and its length as parameters to get the sum of all elements.

Here is a pseudo code of the above steps:

function sumArray(array, N):
    if N == 0:
        return 0
    else:
        return sumArray(array, N-1) + array[N-1]

sum = sumArray(array, N)

This function works by breaking down the problem into smaller subproblems. It first calculates the sum of the elements in the array excluding the last element, and then adds the last element to the sum. This process is repeated until the array has no elements, at which point the sum is 0.