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.
7, 12, ['4837', '6477', 'P', 'I', 'p', 'A', '4277', '6619', '4153', '8061', '2841', 'a', 'U', 'G', '4977', 'i', '5005', '2435']