just from looking I would say the next batch is 24,27,33
the sequence seems to be add 1 then add 3 then add 6. There is a way of getting a generaly rule from a sequence but I suspect the general rule in this case is going to involve n3 terms and that's beyond my brain at this time of night.
24 + 1 + 3 + 6 then repeat so 23 + 1 = 24
14
8/17 < 13/23 because 8 * 23 < 17 * 13
24
24
20-23
30-17 = 13
(17-4)+10=23 13+10=23
3, 13, 17, 23 are prime numbers. The others are not.
The prime numbers after ten are: 11 13 17 19 23 29
3, 5, 7, 11, 13, 17, 19, 23, 293, 5, 7, 11, 13, 17, 19, 23, 293, 5, 7, 11, 13, 17, 19, 23, 293, 5, 7, 11, 13, 17, 19, 23, 29
13 - 14 - 18 - 23 - 32 = -74