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.

Q: 3, 6, ['r', '8615', '4477', 'k', 'Z', 'B']

A: 4477
****
Q: 1, 4, ['3757', 'z', '9029', '6903', '7185']

A: 19689
****
Q: 4, 6, ['8699', '2233', 'N', 'W', '6141', '4531', 'P', 'l']

A:
10672
****