In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
7, 19, ['N', 'N', '8617', '3295', '5781', 'i', '2425', 'B', '5281', 'p', 'c', 'H', 'D', 'N', '4335', 'I', '5237', 'r', '6323', 'k', '9689']