Difference between revisions of "2004 AIME II Problems/Problem 9"
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== Solution == | == Solution == | ||
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== See also == | == See also == | ||
| + | * [[2004 AIME II Problems/Problem 8 | Previous problem]] | ||
| + | * [[2004 AIME II Problems/Problem 10 | Next problem]] | ||
* [[2004 AIME II Problems]] | * [[2004 AIME II Problems]] | ||
Revision as of 00:56, 11 November 2006
Problem
A sequence of positive integers with 
and 
is formed so that the first three terms are in geometric progression, the second, third, and fourth terms are in arithmetic progression, and, in general, for all 
the terms 
are in geometric progression, and the terms 
and 
are in arithmetic progression. Let 
be the greatest term in this sequence that is less than 1000. Find 
Solution
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