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.
1, 14, ['L', '869', '4351', '1689', 'Y', '4081', '5175', '5493', '4227', 'P', 'H', 'q', '2599', '5635', 'J']