perplexus.info :: Sequences : Next Numbers Please 8

Next Numbers Please 8 (Posted on 2007-03-15)

What are the next two numbers in this sequence?

10, 22, 200, 11202, ______, ______

See The Solution Submitted by Brian Smith

Rating: 4.0000 (1 votes)

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Puzzle Solution

Comment 3 of 3 |

The sequence is:

A(n-1) (in base 8) = A(n) (in base 3)

Now, 11202 (in base 8) = 20111111 (base 3)

and, 20111111( in base 8) = 21221222212121 (base 3)

Consequently, the required next two terms are: 20111111, and 21221222212121

Edited on December 24, 2022, 11:00 pm

Posted by K Sengupta on 2022-12-24 22:54:13

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