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.

1, 2, ['1907', '1489', 'm', '4571', 'a']
3396

2, 7, ['3295', '2909', '8081', '8299', '8979', 'J', 'V', 'r', '2403', '5589', '6875', '9181', '6547', 'k', 'n']
28268

1, 2, ['2013', 'Q', '1765', '3241', '2899', 'c']

2013