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: 2, 10, ['187', '3135', 'l', 'w', 'm', 'v', 'R', '2819', '2929', 'B', 'u', 'B', '1155', 'Y', '5775', '1549', 'j', '4517', '1805']

8883