Difference between revisions of "1975 USAMO Problems/Problem 3"

(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...)
(No difference)

Revision as of 16:12, 30 December 2008

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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

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