Difference between revisions of "2004 AIME II Problems/Problem 14"

 
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== Solution ==
 
== Solution ==
 
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{{solution}}
 
== See also ==
 
== See also ==
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* [[2004 AIME II Problems/Problem 13 | Previous problem]]
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* [[2004 AIME II Problems/Problem 15 | Next problem]]
 
* [[2004 AIME II Problems]]
 
* [[2004 AIME II Problems]]

Revision as of 23:54, 10 November 2006

Problem

Consider a string of $n$ $7$'s, $7777\cdots77,$ into which $+$ signs are inserted to produce an arithmetic expression. For example, $7+77+777+7+7=875$ could be obtained from eight $7$'s in this way. For how many values of $n$ is it possible to insert $+$ signs so that the resulting expression has value $7000$?

Solution

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See also