Unless the game chooses the numbers following a particular set of rules, I'm afraid not. Given a sequence of numbers, you can always make the next term any number you wish, it would still be a sequence of numbers. More astonishingly, suppose you start off with the initial k terms of a sequence. Fixing an arbitrary number n to be the k+1 term, you can write down a polynomial P such that P(1)=first term, P(2) = second term,...P(k)=kth term, P(k+1)=n.