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Sequence 2 (Posted on 2003-08-03) Difficulty: 3 of 5
What is the next number in the following series?

1, 2, 4, 13, 31, 112, ?

See The Solution Submitted by Ravi Raja    
Rating: 2.8333 (6 votes)

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Solution puzzle solution Comment 14 of 14 |

Considering the numbers in base 5 and converting into decimal, we obtain:

1, 2, 4, 8, 16 , 32

Since each term is precisely twice the preceeding term, it follows that  the value of the next term in the decimal system must be 64, which is 224 when expressed in base 5.

Consequently, the required missing term is 224.


  Posted by K Sengupta on 2007-03-06 03:49:48
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