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: 5, 11, ['7825', '2643', 'j', 'I', 'A', 'Y', '3817', '683', '6509', '4365', 'V', 'z', 'R', '8019', '205', '1013', 'i']

15374