1,2,6,42,____...

What comes next?

The differences between consecutive terms is:
1 + 1 = 2, 2 + 4 = 6, 6 + 36 = 42 ..

This makes it fairly easy to see that each term is added to its square to get the next term:
42 + 1764 = 1806

Posted by DJ on 2003-08-01 03:33:55