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, 14, ['z', '7621', 'M', '5939', 'm', 'Z', '4819', '4007', '5937', '7181', 'A', '8565', '6333', 'D']