Difference between revisions of "2004 AIME II Problems/Problem 9"
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Revision as of 12:27, 19 April 2008
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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See also
| 2004 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 8 |
Followed by Problem 10 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
