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, 15, ['2093', '8063', 'A', '9681', '6535', 'O', '8877', 'a', 'J', 'P', 'k', '3777', '2345', 'm', 'f', '8179', '4581', 'u', '3185', '83']