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.

1, 6, ['237', 'x', 'Q', 'J', '4629', 'q', '2831', 'i', 'm']
4866

12, 14, ['U', '5071', 'V', '9887', 'E', '3913', '3459', 'l', 'V', 'n', 'B', '655', 'L', 's', '2687', '9761', '2477', 'D', '8385', 'U', 'm', 'q', '4365', 'j']
655

1, 7, ['B', '4457', '8867', 'p', 'E', 'x', 'J', 'r', '6613']

13324