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.
6, 8, ['8177', 'o', '1257', 'j', 'T', '5809', '1743', 'z', 'y', '9705', 'v', '3297', 'G']