Definition: 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.
Input: 2, 8, ['6503', 'P', 'p', '937', '7805', 'M', 'Z', 'v', '3299', '9905', 'T', '4551', '115', '3793', 'w', '5443', 'Z', '8035', 'H', 'U', 'A', '1453', 'P', '6113', 'P', '8619', '8657']

8742