Tuesday, August 26, 2014

August 2014 Brain Teaser Solution

Q:
What is the next number in this series?
1, 11, 21, 1211, 111221, 312211 
 
A: 13112221 
as the last number listed above is 312211
one 3 one 1 two 2 two 1 

1, 11, 21, 1211 , 111221, 312211, 13112221, ...

The pattern is that the next term comes from counting how many of each numbers are in the previous term. For example, the second term is 11 because there is ONE "1" in the previous term. The third term, likewise, is 21 because there are TWO "1" in the previous term. Next term is ONE "2", ONE "1", and then ONE "1", ONE "2", TWO "1", and so on and so forth.