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: 7, 18, ['7415', '2973', '1751', 'D', '9765', '2923', 'P', 'U', 'b', '145', '569', '71', '8085', '4115', '9769', '3925', '7437', 'p', 'h', 'Z', '7125', 'i', 'M', 'z']

34116