Question 11
The polynomial $1-x+x^2-x^3+\cdots$ ${}+x^{16}-x^{17}$ may be written in the form $$
\begin{aligned} &a_0+a_1y+a_2y^2+\cdots\\ &\qquad{}+a_{16}y^{16}+a_{17}y^{17}, \end{aligned}
$$ where $y=x+1$ and the $a_i$’s are constants. Find $a_2.$
\begin{aligned} &a_0+a_1y+a_2y^2+\cdots\\ &\qquad{}+a_{16}y^{16}+a_{17}y^{17}, \end{aligned}
$$ where $y=x+1$ and the $a_i$’s are constants. Find $a_2.$