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]: 8, 12, ['i', '35', 'v', 'G', 'o', '5861', '8371', 'P', '1895', '6183', '8025', '2455', '4763', '409', 'e', 'A', '9029', 'a', 'I', '2761', '5481', 'f', '3413', '803', 'W', 'A', '8781']
[A]: 18558


[Q]: 11, 14, ['H', '4643', 'k', '9583', 'K', '3497', 'Q', '8111', '1837', 'Z', '6885', 'L', '1759', '7777', '3137']
[A]: 16421


[Q]: 4, 7, ['3529', 'i', '3347', 'b', '9845', '1823', '7823', 'C', 'k', '1189']
[A]:
19491