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.
5, 12, ['Z', '6417', '7143', '8897', 'D', '443', 'M', 'z', '4143', '6567', 'F', '2511', '7757', 'T', 'p', 'b', 'G', '8875', '3667', '3871', 'P', '4399']