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.
5, 9, ['I', '3889', '9427', 'n', '6709', 'n', '3335', 'm', '5679', '4785', '6983', 'm', 'F']