Definition: 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.
Input: 3, 8, ['717', '4901', '8837', 'z', '4089', 'G', 'A', 'v', 'g', 'x', 'G', '1801', '6577', '5059', '2827', 'w']

12926