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]: 11, 16, ['8617', '6133', '5505', '6601', 'y', 'a', '1019', 'r', 'P', 'd', 'P', '9647', '9831', 'I', 'z', 'k', '749', '8975']
[A]: 19478


[Q]: 5, 8, ['3017', '2471', 'r', 'M', '8213', '4259', '8397', 'A', '9809', '5827', '4079', 'v', '6735', 'T', 'n', '3877', '9777', '1395', '9631']
[A]: 20869


[Q]: 12, 13, ['J', '8465', 'K', '4209', '3053', '2031', 'f', '8587', 'U', 'r', '3209', '7515', '2861', 'f', '7611']
[A]:
10376