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.
8, 18, ['i', '3779', '1567', '8759', '625', 'D', '8819', 'A', 'n', 'O', 'e', 'D', '6605', '2059', 'c', '4723', 'd', 'z', 'u', 'b', '3625', 'x', '1737', 'n', 'v', 'q', '5467']