6

Part of 1988 India National Olympiad

Problems(1)

Indian Mathematical Olympiad 1988 - Problem 6

Source:

a_0,a_1,\dots,a_{50}

are the coefficients of the polynomial \left(1\plus{}x\plus{}x^2\right)^{25} show that a_0\plus{}a_2\plus{}a_4\plus{}\cdots\plus{}a_{50} is even.

algebrapolynomialmodular arithmeticalgebra proposed