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]: 2, 12, ['2873', '259', 'b', '2009', 'T', '6161', '8637', 'V', 'Z', 'Z', 'q', '6935', '5311']
[A]: 24001


[Q]: 2, 9, ['F', '7137', '6127', 'q', '6637', '1423', 'w', '4175', '8971', '3999', '193']
[A]: 34470


[Q]: 7, 26, ['I', 'K', '7025', 'g', '271', '9365', 'i', '449', 'q', '8499', '4887', 'M', '885', '3831', '4789', 'I', '8181', 'b', 'I', '5639', 'p', '649', '535', 'k', '6621', 'j', '9539']
[A]:
44965