Given this pattern:
0, 1, 0, 2, 2, 2, 3, 4, 5, 6, 6, $n$
Find the next item at $n$
Pattern/sequence explanation required
Given this pattern:
0, 1, 0, 2, 2, 2, 3, 4, 5, 6, 6, $n$
Find the next item at $n$
Pattern/sequence explanation required
I think the answer is
12
Because...
If you were to group all numbers in batches of 3, add them up and then get the average between them (rounding up), you get a sequence of it's own which goes 1(?) 2 3 4. Done as follows:
0 1 0 = ? (I'm assuming 1)
2 2 2 = 6 / 3 = 2
3 4 5 = 12 / 3 = 4
6 6 12 = 24 / 3 = 8
I'm probably horrible mistaken, but I thought I'd give it a shot.
(0 + 1 + 0) / 3)
should be rounded to 1 (as you said). It should be noted that it was the ceiling average (all decimals round up).
$\endgroup$
– Zach Gates
May 3 '15 at 4:05
I feel like there may be multiple solutions to this puzzle, but I'll propose one I found.
The next number is:
6
Because
Each group of three adds up to a multiple of 6, alternating between consecutive integers and the same 3 digits repeated.
- 0 + 1 + 0 = 6^0 (unsure about this)
2+2+2 = 1*6
3+4+5 = 2*6
==> 6+6+6=3*6