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, 14, ['9625', '673', 'u', '8309', 'b', '7645', '6655', '9685', '1959', 'H', 'n', '503', '2169', '6919', 'K', '5749', '3675', '3717']