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

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== Solution ==
 
== Solution ==
 
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== See also ==
 
== See also ==
* [[2004 AIME II Problems/Problem 13 | Previous problem]]
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{{AIME box|year=2004|n=II|num-b=13|num-a=15}}
* [[2004 AIME II Problems/Problem 15 | Next problem]]
 
* [[2004 AIME II Problems]]
 

Revision as of 13:25, 19 April 2008

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

2004 AIME II (ProblemsAnswer KeyResources)
Preceded by
Problem 13
Followed by
Problem 15
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions