A set of six positive integers contains an arithmetic sequence of four terms, a geometric sequence of four terms, and a harmonic sequence of four terms. What are the numbers in the set when the largest member of the set is a minimum?

Note: A harmonic sequence is a sequence whose reciprocals form an arithmetic sequence. ex: ({10, 12, 15, 20} is harmonic since {1/10, 1/12, 1/15, 1/20} is arithmetic)

(In reply to Solution by stan)

Whoops, missed the part about all numbers being integers... I guess that makes SilverKnight's answer the best...

Posted by stan on 2004-01-06 15:15:01