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, 6, ['861', '407', '8373', 'a', 'j', 'Q', 'l', 'X', 'j', 'c', 'v', '657', '9581', 'L', 'R', '4535', '7423', 't', '6069', '153', '9953', 'p', '8573', 'x', 'd', '9829', '4789']

8780