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 23:56, 10 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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