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.
10, 14, ['x', 'Y', '279', '2373', 'm', 'N', '4847', 't', '9941', '2505', 'S', '4783', 'A', '6843', '3269', 'Z', '1483']