I particularly hate those tests where you have to say what the next number in a sequence is. It could be anything! Here's an example -- a simple principle but not easy to find:
3, 3, 5, 4, 4, 3 . . .
What's the answer?
3, 3, 5, 4, 4, 3 . . .
What's the answer?
Comments
Find the sequence in π then carry on.
Alternatively, find the sequence in e then carry on...
Have you any idea how much computation goes on in your brain, to think of those few numbers???
Compared to that, a computer calculating π is like the brain of a gnat, on idle.
π is the next number
Because 6 real numbers in a row, all integers, is so incredibly unlikely, out of all 6-sequences, that the next number must be unlikely too.
... 5, 5, 7, 6, 6, 5, 7, 7...
And from other responses I know that's not what you were thinking of.
Charles Babbage suggested that miracles could be understood not as the suspension of natural law but of one simple regularity generating another apparent regularity, but the apparent regularity would see unheralded exceptions. He demonstrated this via sequences.