Difference between revisions of "1987 AIME Problems/Problem 11"

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== Problem ==
 
== Problem ==
 
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Find the largest possible value of <math>\displaystyle k</math> for which <math>\displaystyle 3^{11}</math> is expressible as the sum of <math>\displaystyle k</math> consecutive positive integers.
 
== Solution ==
 
== Solution ==
 
+
{{solution}}
 
== See also ==
 
== See also ==
 
* [[1987 AIME Problems]]
 
* [[1987 AIME Problems]]
  
 
{{AIME box|year=1987|num-b=10|num-a=12}}
 
{{AIME box|year=1987|num-b=10|num-a=12}}

Revision as of 23:54, 10 February 2007

Problem

Find the largest possible value of $\displaystyle k$ for which $\displaystyle 3^{11}$ is expressible as the sum of $\displaystyle k$ consecutive positive integers.

Solution

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See also

1987 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 10
Followed by
Problem 12
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions