| A Mysterious Sequence |
Can you figure out the next number in this sequence?
1, 11, 21, 1211, 111221, ???
Please note that you MUST give an explanation in order to get credit for a correct answer.
This problem will remain up through the entire summer. I will grade all submitted solutions at the end of the summer, so my response will serve as a reminder to check for a new puzzle in September!
Congratulations to the following, who were high scorers for this past year:
AlphaSigChainsaw (96 points)
yoi55 (85 points)
lewanj (83 points)
beckyh (76 points) |
Problem Moderated by: Douglas |
| Problem Solution |
The second number is 11 because the the first number consists of 1 one.
The third number is 21 because the second number consists of 2 ones.
The fourth number is 1211 because the third number consists of 1 two and 1 one.
Continuing on like this, the fifth number consists of 3 ones, 2 twos, and 1 one, so the sixth number is:
312211
Back |
|
|
Options
|
|
|
Brainfood
|
|
|
|
Archives
|
|
|
|
Problem Pages
|
|
|
|
Games!
|
|
|
|
