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.
1, 7, ['6231', '1773', 'g', 'U', 'X', 'B', '8061', 'W', '7885', 'F', '3003', '1663', '7969', '8943', 'w', '9213', '77', '8439']