Difference between revisions of "University of South Carolina High School Math Contest/1993 Exam/Problem 24"
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== Solution == | == Solution == | ||
Notice that for each <math>f_{n}(3)</math> where <math>n</math> is odd, the value is <math>1/5</math> and for each value of <math>f_{n}(3)</math> where <math>n</math> is even, the value is <math>3</math>. It follows that the answer is <math>1/5</math>. | Notice that for each <math>f_{n}(3)</math> where <math>n</math> is odd, the value is <math>1/5</math> and for each value of <math>f_{n}(3)</math> where <math>n</math> is even, the value is <math>3</math>. It follows that the answer is <math>1/5</math>. | ||
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Revision as of 17:21, 17 August 2006
Problem
If 
and in general 
then 
Solution
Notice that for each 
where 
is odd, the value is 
and for each value of where is even, the value is 
. It follows that the answer is .
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