Difference between revisions of "2005 AIME I Problems/Problem 2"

 
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== Solution ==
 
== Solution ==
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{{solution}}
  
 
== See also ==
 
== See also ==
 
* [[2005 AIME I Problems]]
 
* [[2005 AIME I Problems]]

Revision as of 22:05, 5 September 2006

Problem

For each positive integer $k,$ let $S_k$ denote the increasing arithmetic sequence of integers whose first term is 1 and whose common difference is $k.$ For example, $S_3$ is the sequence $1,4,7,10,\ldots.$ For how many values of $k$ does $S_k$ contain the term 2005?

Solution

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See also