AIME 1986 problem

Algebra Level 4

The polynomial \(1 - x + x^2 - x^3 + \ldots +x^{16} - x^{17}\) may be written in the form:

\[a_0 + a_1y + a_2y^2 + \ldots +a_{16}y^{16} + a_{17}y^{17},\]

where \(y=x+1\) and \(a_i\) are constants. Find \(a_2\).

×

Problem Loading...

Note Loading...

Set Loading...