Polynomial of Degree n
Source: 1975 USAMO Problem 3
March 15, 2010
algebrapolynomialAMCUSA(J)MOUSAMO
Problem Statement
If denotes a polynomial of degree such that P(k)\equal{}\frac{k}{k\plus{}1} for k\equal{}0,1,2,\ldots,n, determine P(n\plus{}1).