Difference between revisions of "1981 USAMO Problems/Problem 5"
(Created page with "==Problem== Show that for any positive real <math>x</math>, <math>[nx]\ge \sum_{1}^{n}\left(\frac{[kx]}{k}\right)</math> ==Solution== {{solution}} ==See Also== {{USAMO box|year=...") |
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[[Category:Olympiad Algebra Problems]] | [[Category:Olympiad Algebra Problems]] | ||
Revision as of 18:12, 3 July 2013
Problem
Show that for any positive real 
, ![$[nx]\ge \sum_{1}^{n}\left(\frac{[kx]}{k}\right)$](http://latex.artofproblemsolving.com/8/9/0/890ce23466abfd1bcb2eb253ac571925c0362163.png)
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1981 USAMO (Problems • Resources) | ||
| Preceded by Problem 4 |
Followed by Last Question | |
| 1 • 2 • 3 • 4 • 5 | ||
| All USAMO Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
