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, 13, ['Z', 'h', 'j', 'i', '4335', 'c', 'A', 'O', 'U', '8173', 'N', 'E', '9187', '9911']
[A]: 17360


[Q]: 2, 9, ['3707', 'J', 'H', '8907', '597', 'Z', '9725', 'g', 'R']
[A]: 19229


[Q]: 4, 10, ['C', '6511', 'S', '5389', '5679', 'O', 'Z', 'm', 'p', '1135', '7887', '6407', '6561']
[A]:
12203