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: Consider Input: 2, 5, ['r', 'Y', '3769', 'k', '6407', 'G', 'M']

Output: 10176


Input: Consider Input: 1, 2, ['t', '9343', 'g']

Output: 9343


Input: Consider Input: 5, 5, ['P', 'O', '1249', 'A', '9185', '4545']


Output: 9185