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Topic: arithmetic progression that's also a geometric one, with a known largest number, need advice
Replies: 4   Last Post: Dec 5, 2012 1:11 AM

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Don Coppersmith

Posts: 207
Registered: 12/6/04
Re: arithmetic progression that's also a geometric one, with a known largest number, need advice
Posted: Jan 28, 2005 11:20 AM
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>
>A progression that is both arithmetic and geometric must be constant.
>
>
>Aristotle Polonium



True but irrelevant. In this problem, the geometric progression
is a _permutation_ of the arithmetic progression.
Suppose the arithmetic progression is (A,B,C) and the
geometric progression is (A,C,B).
Then there are nonconstant, nontrivial solutions.




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