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)

What is meant by "largest member of the set is a minimum"? Does it mean, which I think it does, that the largest number is the smallest as well? Well, if thats the case, then probably all the numbers in the set are the same?

Posted by Victor Zapana on 2004-01-06 21:51:02