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.
8, 12, ['H', 'j', '5277', 'c', '1453', 'i', '3571', '7589', '9667', 'c', '7051', 'F', 'T', '743', 'C', 'P', '229']