7,10,12,13,14,15,16,17
I have tried to find a mathematical sequence but have failed. Looking at alternate terms there is a known sequence 7, 12, 14 , 16, for which the next term is 21
http://oeis.org/A031021
But I can't find a pattern for the other terms: 10 ,13, 15, 17 , the closest being the 'hypotenuse' sequence 5, 10 ,13,15, 17,
http://oeis.org/searc...age=english&go=Search
It would only work if your sequence had an extra 5 at the beginning
I did notice that the sum of the primes in your sequence alternate: prime, non-prime, prime, non-prime, prime, non-prime, prime, non-prime, ... but that isn't enough to tell us the next two terms.
I doubt the quiz is looking for a complex maths sequence-. I tried converting them to Roman numerals and letters of the alphabet but drew a blank.
For 25,21,25,24,26,20... I thought about the number of midweek days in January, February, March etc but the figure for June messed it up