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]: 6, 23, ['s', '5425', '7485', 'I', 'r', 'I', '3943', '4067', '3773', '2459', '1525', '2093', '1103', '7373', 'h', 'j', '3209', 'o', 'Q', 'I', '1295', '4569', '4301', 'C', 'N', '269']
[A]: 39710


[Q]: 7, 19, ['8309', 'O', '1491', 'k', '2521', '1161', 'y', '3215', '8345', '1949', '9883', 'g', 'z', 'B', 'S', 'j', 't', '2841', 'j', '3333', 'S', 'w', '2283', '793', 'w', 'q', 'p', 'J', '7979']
[A]: 26233


[Q]: 2, 5, ['8019', 'j', '5995', 'w', '2659', 'C', '6709']
[A]:
8654