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.
8, 10, ['B', '5235', '4023', '5377', '1925', '3469', '41', 'v', 'D', 'Q', '6595', 'q', '6827', 'o', 'D', 'x', '4557', '5973']