What are the next two numbers in the following sequence ?

10, 40, 90, 61, 52, 63, 94, ? , ?

(Explain how you arrived at your result).

These numbers are perfect squares, with the digits in the tens and ones place switched around.

The first nine perfect squares are:
01, 04, 09, 16, 25, 36, 49, 64, 81.

So the sequence goes:
10, 40, 90, 61, 52, 63, 94, 46, 18

Posted by Nick Murray on 2003-03-25 02:00:02