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: 6, 9, ['J', '5177', 'm', '7413', 'T', 'N', '5153', 'S', '8145']

A: 13298
****
Q: 6, 14, ['707', 'L', '8503', 'x', 'Y', '921', '8415', '6449', '5711', 'd', '591', 'd', '3827', '5569', 'g', 'U', 'v', '7781', 'E', 'z', '4751', '8541', 'c', 'P', '8037', 'X']

A: 31483
****
Q: 6, 6, ['L', '735', '3097', 'g', '7871', '8257', '4289', 'd', '1889', 't', 'c']

A:
8257
****