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, 15, ['b', 'e', 'A', 'R', '1677', 'f', 'l', '2423', 'k', 'e', 'B', '1809', '439', '8143', 'Z', '7177', '8129', '997', 'T', '6549', '2791', '9085', 'U', '9381']