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: 4, 4, ['t', 'Z', '8689', 'I', '5589', 'H', 'Z']

A: 0
****
Q: 5, 6, ['937', '3595', '1279', '8705', '3587', '5879']

A: 9466
****
Q: 5, 13, ['O', 'x', 'F', '9505', 'H', 'k', 'H', '7543', 'D', '6007', 'r', 'J', '7033', '4409', 'I', 'H', '8427']

A:
20583
****