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


[Q]: 1, 3, ['b', '3997', '285', 'T']
[A]: 4282


[Q]: 19, 22, ['2387', '5031', '2563', 'N', 'q', 'Q', '8415', 'i', '6063', 'g', 'j', '95', 'e', '917', 'S', 'R', '6285', '7919', '5227', 'Q', '5115', '7639', 'c', '7853', '9303', '6231', 'K', '6027']
[A]:
17981