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
question by Victor Zapana)
Regarding "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? "
I'm sure it just means that the largest member of this set is smaller than the largest member of any other set that satisfies these properties.

Posted by Charlie
on 20040107 09:13:53 