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]: 1, 3, ['p', '5665', '3001']
[A]: 8666


[Q]: 8, 14, ['i', '2929', '9353', 'T', '5451', 'n', 'y', '2861', 's', 'G', '7717', '3833', '3753', 'u', 'E', 'T', 'I']
[A]: 18164


[Q]: 6, 23, ['Z', '8977', '7125', 'n', '2205', 'H', 'y', '8113', 'n', '6749', 'I', 'M', 'O', '8159', '1823', '6701', '1481', 'n', 'z', 'V', 's', '9277', '8981', 'h']
[A]:
51284