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.

3, 4, ['2879', '5161', 'v', 'c', 'P', 'T', 'p', '6905', 'F']
0

4, 5, ['b', 'u', '5279', '6945', '6631']
13576

1, 9, ['3563', 'g', 'A', 'p', '1195', 'I', '4489', '3569', '2185', 'L']

15001