Below are 2 different sequences, but the rules are the same,
2, 3, 3, 9, 9, ?
3, 7, 3, 3, 7, 9, ?
determine the two missing numbers and find the rule,
Bonus. how far can each sequence go? Can you find a longer sequence of numbers that follow the same rule?
There is always the potential for multiple solutions with sequences like this, but here is one which works for the first part of the question.
If we view the numbers as digits in a sequence of numbers, each appending to the end, then each new digit makes the new number prime.
2, 23, 233, 2339, 23399 next number is 3: 233993
3, 37, 373, 3733, 37337, 373379, next number is 9: 3733799
Now to look at longer sequences
|
|
Posted by SteveH
on 2004-12-17 18:31:00 |
First part
