[Roberton3]

[quote author=stupac2 link=topic=9116.msg77858#msg77858 date=1386792121]
[quote author=Embo link=topic=9116.msg77853#msg77853 date=1386791682]WIM, you missed it because of a trick.  The response is what follows 10, not 8 (which your answer would respond to.)

Hulk, I am so confident that my next reply would be, "Hulk, I will take Brain Teasers for $1600".

That's not what I would get for 8. I would get 128.
[/quote]

Same here.

My guess is there's multiple answers, but that you would only really know for sure theres multiple answers if you're a PhD in super nerd math.
[/quote]

My PhD's in a field other than super nerd math.  But I can tell you that unless you put restrictions on the process that generates the sequence (e.g., a limit on how complicated a rule you can use to calculate the answer), the number of possible correct answers is literally infinite.  (Indeed, it doesn't even need to be super-complicated: if you allow the rule generating the sequence to be a fifth-order polynomial function, that's enough to give an infinite number of possible correct answers).

If you require it to be the simplest rule that fits the example given, however, then the answer seems pretty clear.

[Roberton3]

[quote author=stupac2 link=topic=9116.msg77858#msg77858 date=1386792121]
[quote author=Embo link=topic=9116.msg77853#msg77853 date=1386791682]WIM, you missed it because of a trick.  The response is what follows 10, not 8 (which your answer would respond to.)

Hulk, I am so confident that my next reply would be, "Hulk, I will take Brain Teasers for $1600".

That's not what I would get for 8. I would get 128.
[/quote]

Same here.

My guess is there's multiple answers, but that you would only really know for sure theres multiple answers if you're a PhD in super nerd math.
[/quote]

My PhD's in a field other than super nerd math.  But I can tell you that unless you put restrictions on the process that generates the sequence (e.g., a limit on how complicated a rule you can use to calculate the answer), the number of possible correct answers is literally infinite.  (Indeed, it doesn't even need to be super-complicated: if you allow the rule generating the sequence to be a fifth-order polynomial function, that's enough to give an infinite number of possible correct answers).

If you require it to be the simplest rule that fits the example given, however, then the answer seems pretty clear.