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]: 4, 6, ['4301', 'a', 'E', '3709', '5105', 'B']
[A]: 8814


[Q]: 2, 2, ['4965', '6219']
[A]: 6219


[Q]: 3, 12, ['w', 'z', '985', 'J', '55', 'U', 'j', '5521', 'U', '8101', 'r', '8549', 'f', '663', '2449', 'B', 'v']
[A]:
23211