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Three Sequences (Posted on 2004-01-06) Difficulty: 3 of 5
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)

See The Solution Submitted by Brian Smith    
Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Solution | Comment 4 of 9 |
(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

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