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, 2, ['9797', '5585', '1849', '4485', '9225']
[A]: 5585


[Q]: 14, 17, ['Q', '7681', '8379', '2569', 'D', '5179', 'M', 'M', 'k', '187', '9275', 'V', 'L', 'F', '6397', '6385', 'O', '4823', '8655']
[A]: 12782


[Q]: 2, 7, ['P', 'H', '6605', '8285', 'b', 'R', '5791']
[A]:
20681