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.
10, 17, ['Q', 'H', 'J', '5403', 'f', 'f', '4489', 'w', '5491', 'F', '1843', 'm', '6997', '1609', '605', '1273', '8023']