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, 3, ['3335', '3451', 'f', 'M']
[A]: 3451


[Q]: 1, 7, ['t', 's', 'P', 'H', '3837', '2623', '6021', 'f']
[A]:
12481