Definition: 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.
Input: 9, 15, ['F', 'S', '237', 'N', '8483', '8291', '4939', 'W', 'r', 'W', '3437', 'a', '9233', 'A', 'I', '7005', '2129']

12670