[dude_abides]

I'm a data scientist, and it relieved me no end that I got this one right: http://i.imgur.com/V5oJ4i4.png I would have had second thoughts about my career choice if I got this wrong :)

The correct approach for any data modeling problem is to think in terms of entropy. Each subsequent approach should minimize entropy, until you reach diminishing returns.

[Sadgrinner]

Isn't your answer technically wrong, though?

The sequence is not monotonically increasing. It's strictly increasing. If you test [1, 1, 2] or [1, 1, 1] or [1, 2, 2], you'll get "No" answers even though those sequences are monotonically increasing.

[thaumasiotes]

Not so.

http://mathworld.wolfram.com/MonotoneIncreasing.html

[taigeair]

I got so many nos. I can't believe that "Remarkably, 77 percent of people who have played this game so far have guessed the answer without first hearing a single no." That's crazy.