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Mock AIME 1 2006-2007 Problems/Problem 3: Difference between revisions

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3. Let <math>\triangle ABC</math> have <math>BC=\sqrt{7}</math>, <math>CA=1</math>, and <math>AB=3</math>. If <math>\angle A=\frac{\pi}{n}</math> where <math>n</math> is an integer, find the remainder when <math>n^{2007}</math> is divided by <math>1000</math>.
Let <math>\triangle ABC</math> have <math>BC=\sqrt{7}</math>, <math>CA=1</math>, and <math>AB=3</math>. If <math>\angle A=\frac{\pi}{n}</math> where <math>n</math> is an integer, find the remainder when <math>n^{2007}</math> is divided by <math>1000</math>.


[[Mock AIME 1 2006-2007]]
==Solution==
{{solution}}
 
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*[[Mock AIME 1 2006-2007/Problem 2 | Previous Problem]]
 
*[[Mock AIME 1 2006-2007/Problem 4 | Next Problem]]
 
*[[Mock AIME 1 2006-2007]]

Revision as of 16:26, 17 August 2006

Let $\triangle ABC$ have $BC=\sqrt{7}$, $CA=1$, and $AB=3$. If $\angle A=\frac{\pi}{n}$ where $n$ is an integer, find the remainder when $n^{2007}$ is divided by $1000$.

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