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: 1, 1, ['3725', '1637', '4209', '4635', '2063', 'G', 'm', '7003', '4387', 'x', '3291', '621', '1893', '5727', '4411', '9397', 'J']

3725