2009 USAMO Problems/Problem 6
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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) | ||
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