Difference between revisions of "2002 AIME I Problems/Problem 8"

Revision as of 15:14, 25 November 2007

Find the smallest integer $k$ for which the conditions

(1) $a_1,a_2,a_3\cdots$ is a nondecreasing sequence of positive integers

(2) $a_n=a_{n-1}+a_{n-2}$ for all $n>2$

(3) $a_9=k$

are satisfied by more than one sequence.

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-{{empty}}
 == Problem ==
 Find the smallest integer <math>k</math> for which the conditions
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 == See also ==
-* [[2002 AIME I Problems/Problem 7| Previous problem]]
+{{AIME box|year=2002|n=I|num-b=7|num-a=9}}
-* [[2002 AIME I Problems/Problem 9| Next problem]]
-* [[2002 AIME I Problems]]

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