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, 6, ['7233', '7997', 'a', '727', '8387', 'Q', '1313', 'E']
[A]: 9114


[Q]: 9, 12, ['6001', '6723', '1813', 'S', '3331', 'T', '297', '8105', '7529', 'f', '1459', '323', '8077', 'N', 'W', 'G', 's', 'z', '7559', 't', 'F', 'h', '3771', '975']
[A]: 9311


[Q]: 6, 12, ['D', '6901', '2783', '8267', 'F', '3543', '6861', 'o', '235', 'g', '9369', 'R']
[A]:
20008