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: 3, 8, ['1043', '4653', 'V', '753', '5225', 'A', 'Q', 'g', 'O', 'R', 'y', '5483', '4203', '3887', 'n', '9325', '8749', 'W', 'G', 'j']

5978