Here are a few sequences:

20,6,4,3,2,2,2 etc.
10,4,3,2,2,2etc.
16,5,2,2,2 etc.
60,12,6,4,3,2,2etc.

Each sequence follows the exact same rule and when it says 'etc.' the last digit is repeated an infinite number of times. (The first number in each sequence is random and does not follow the rule).

What is the rule for these sequences?

This reminds me of a similar sequence, where each number is the number of letters in the previous number. That sequence always ends up repeating 4 though.

So, I think that every number, no matter where it is, will always be followed by a specific number. 4 is always followed by 3, 3 is followed by 2, and 2 is followed by 2. If you notice, both 20 and 12 are always followed by sixes. Both 10 and 6 are followed by 4, and 3 and 5 are always followed by 2. This leads me to believe that this sequence does not follow a mathematical function.

Posted by Tristan on 2003-10-26 10:20:44