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, 10, ['6497', 'i', '1779', '6541', 'S', '4017', 'z', '3883', '4209', 't', '951', '7521', '2223', 'T']