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, 13, ['7819', 'q', '1831', '6145', '5681', '8175', '5543', '7605', '3845', 'N', '9693', 's', '3649', '6263', 'F', '2035']