There are infinitely many possible rules and it is always possible to choose on so that the next number is any number that you want it to be.
Here, the simplest rule is
Un = 2n2 - 3n + 4 for n = 1, 2, 3, ... and so the next number is 58.
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24/39 = 8/13
It is: 24/39 = 8/13 simplified
It is because 39/18 = 13/6 and 52/24 = 13/6 in their lowest terms
The answer for this is 13 over 24! This is because if you divide both numbers by 3, you will get 13 and 24! YEEPY!! Good Luck!
If you mean: 9, 19, 39, 69 then the next number in the sequence is 109