# what are the possible patterns of the sequence?

Given sequence 12， 10， 9 ，7 ，6， 8

what are the possible patterns you could think?

I was thinking 12 + 6 = 18, 10 + 8 = 18, ..., which is very awkward.

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Isn't it the case that given any finite set of integers like this that one can create an infinite set of sequences that "make sense" on that subset. Or something like that? Not rigorous but i recall something of that nature. –  John U Jan 14 at 12:01
$$12,10,9,7,6,8,6,5,3,2,4,2,1,-1,-2,0,-2,-3,-5,-6,-4,\cdots$$