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]: 3, 5, ['3515', '4581', '8863', '2037', '7899', 'N']
[A]: 18799


[Q]: 2, 2, ['4965', '6219']
[A]: 6219


[Q]: 14, 17, ['F', 'w', 'r', 'u', '1051', 'B', '9551', 'B', 'W', 'c', 'N', '5757', '9595', '4899', 'e', '5377', '7447', '4579', 'P', '5875']
[A]:
17723