1975 USAMO Problems/Problem 3

Revision as of 16:12, 30 December 2008 by Minsoens (talk | contribs) (New page: ==Problem== If <math>P(x)</math> denotes a polynomial of degree <math>n</math> such that <math>P(k)=k/(k+1)</math> for <math>k=0,1,2,\ldots,n</math>, determine <math>P(n+1)</math>. ==Solu...)
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Problem

If $P(x)$ denotes a polynomial of degree $n$ such that $P(k)=k/(k+1)$ for $k=0,1,2,\ldots,n$, determine $P(n+1)$.

Solution

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See also

1975 USAMO (ProblemsResources)
Preceded by
Problem 2
Followed by
Problem 4
1 2 3 4 5
All USAMO Problems and Solutions