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

Considering the numbers in base 5 and converting into decimal(base 10) system, 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.

Edited on January 2, 2022, 6:54 pm

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