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Friday, 15 February 2013

A logic puzzle

This isn't strictly a maths problem but I still found it fun!



1
1 1
2 1
1 2 1 1
1 1 1 2 2 1

What is the next line of the sequence?

Hints will be posted during the week and the solution posted this time next week.
Hint 1: Try saying each line out loud.
Hint 2: Each line relates to the one above.

Solution:

The next line should be: 3 1 2 2 1 1.
Each line describes in words the line above:
One,
One one,
Two ones,
One two, one one
One one, one two, two ones, one one
So the next line is:
Three ones, two twos, one one i.e 3 1 2 2 1 1

Source: The Google Story, David A Vise

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