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: 2, 9, ['F', '7137', '6127', 'q', '6637', '1423', 'w', '4175', '8971', '3999', '193']

A: 34470
****
Q: 1, 4, ['H', 'V', 'w', '4621', 'C', '3763', '1271', '967']

A: 4621
****
Q: 3, 13, ['2121', 's', '7943', 'R', 'q', 'R', 'U', '1015', 'U', 'C', 't', '6887', '8337', '9391', '713', '1415', 'w', '3499']

A:
24182
****