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]: 1, 3, ['x', '971', '3029']
[A]: 4000


[Q]: 5, 6, ['2277', 'k', 'S', '6367', 'q', '5455']
[A]: 5455


[Q]: 1, 2, ['1917', '2803']
[A]:
4720