Difference between revisions of "1995 AIME Problems/Problem 13"

 
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== Problem ==
 
== Problem ==
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Let <math>\displaystyle f(n)</math> be the integer closest to <math>\displaystyle \sqrt[4]{n}.</math>  Find <math>\displaystyle \sum_{k=1}^{1995}\frac 1{f(k)}.</math>
  
 
== Solution ==
 
== Solution ==
  
 
== See also ==
 
== See also ==
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* [[1995_AIME_Problems/Problem_12|Previous Problem]]
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* [[1995_AIME_Problems/Problem_14|Next Problem]]
 
* [[1995 AIME Problems]]
 
* [[1995 AIME Problems]]

Revision as of 00:29, 22 January 2007

Problem

Let $\displaystyle f(n)$ be the integer closest to $\displaystyle \sqrt[4]{n}.$ Find $\displaystyle \sum_{k=1}^{1995}\frac 1{f(k)}.$

Solution

See also