After nearly two years of contemplating this problem, I've arrived at the conclusion that three given numbers isn't enough to establish a unique pattern. The series could follow a number of patterns each with a different end result. For instance, I can give you {1,1,2}, and at first it looks like Fibonacci's sequence, so the next number should be {3}. But, I could say it follows an = (n-1)!, in which case the next number is {6}. Or, it could even be:
(1)
Which would yield {0}. I suppose this could be done with any number of givens, but once four or five numbers are given, it becomes more grounded that one unique pattern exists for that particular series.
I found a pattern in yours, which I reveal below:
- To get from 2 to 8, multiply by 4.
- To get from 8 to 992, multiply by 124.
- 4 is 23-4
- 124 is 27-4
- Therefore, to get from 992 to x, multiply by 211-4.
- The answer is 2027648
