I didn't come up with this problem, but I still think it's a good one.

There are 4 positive integers in order from least to greatest, such that the first three make an aritmetic sequence, and the last three make a geometric sequence. If the difference between the largest and smallest term is 30, what are the terms?

(In reply to re: solution by Brian Wainscott)

Yes, that final leap was actually trial and error, aided by a computer.

Posted by Charlie on 2003-09-24 22:02:47