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.

[Q]: 2, 4, ['8181', '9349', '2531', 'S', '5333', '3721', '9641']
[A]: 11880


[Q]: 14, 20, ['4221', '2381', 'i', 'm', 'c', 'F', '9703', '3529', 'a', '83', 'D', '1023', 'I', 'c', 'W', '7163', '341', 'w', '7855', '2317', '8989', '3629', 'b']
[A]: 17676


[Q]: 3, 4, ['4125', 'i', 'L', 'U', 'x', '5951', 'W']
[A]:
0