Find the missing term: 13, 32, 24, 43, 35, ?, 46, 65, 57, 76

The answer is 52.

The sequence is a simple alternating addition and subtraction of 9. Starting with 13, we add 9 to get 22. Then we subtract 9 to get 13. We continue this pattern, adding 9 and then subtracting 9, to get the following sequence:

13, 22, 13, 31, 22, 13, 40, 22, 13, 49, 31, 22, 58, 40, 22, 67, 52, 13, 76

Therefore, the missing term is 52.