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.

2, 7, ['7349', 'P', 'i', 'I', 'e', 'f', '9829']
9829

2, 2, ['4965', '6219']
6219

3, 14, ['5751', '7945', 'p', 'n', 'Z', '2929', 'X', '5081', '8709', 'E', '7733', '5943', '4879', '393']

35667