This is a very basic question in etale cohomology.
Let $\mathcal{F}$ be the constant sheaf $\mathbb{Z} /(n)$ on $\mathbb{A}^1$ over an algebraically closed field $k$ with $n$ coprime to the characteristic. Let $i: \mathbb{A}^1 \hookrightarrow \mathbb{P}^1$ be the inclusion. What is $i_{\ast}\mathcal{F}$?