Difference between revisions of "2009 USAMO Problems/Problem 6"
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Revision as of 12:44, 4 July 2013
Problem
Let be an infinite, nonconstant sequence of rational numbers, meaning it is not the case that Suppose that is also an infinite, nonconstant sequence of rational numbers with the property that is an integer for all and . Prove that there exists a rational number such that and are integers for all and .
Solution
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See Also
2009 USAMO (Problems • Resources) | ||
Preceded by Problem 5 |
Followed by Last question | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAMO Problems and Solutions |
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