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]: 5, 12, ['4439', 'P', 'e', '4929', '2085', 'w', 'C', '5385', '6517', 'w', '6257', '9721']
[A]: 29965


[Q]: 1, 1, ['1449', '1257']
[A]: 1449


[Q]: 3, 3, ['4265', '3105', '1599', '5341', 'R', '9865', 'b']
[A]:
1599