Difference between revisions of "2006 AIME I Problems/Problem 15"
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== Problem == | == Problem == | ||
Given that a sequence satisfies <math> x_0=0 </math> and <math> |x_k|=|x_{k-1}+3| </math> for all integers <math> k\ge 1, </math> find the minimum possible value of <math> |x_1+x_2+\cdots+x_{2006}|. </math> | Given that a sequence satisfies <math> x_0=0 </math> and <math> |x_k|=|x_{k-1}+3| </math> for all integers <math> k\ge 1, </math> find the minimum possible value of <math> |x_1+x_2+\cdots+x_{2006}|. </math> | ||
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== Solution == | == Solution == | ||
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== See also == | == See also == | ||
| + | * [[2006 AIME I Problems/Problem 14 | Previous problem]] | ||
* [[2006 AIME I Problems]] | * [[2006 AIME I Problems]] | ||
Revision as of 15:41, 25 August 2006
Problem
Given that a sequence satisfies 
and 
for all integers 
find the minimum possible value of 
Solution
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