\begin{exercice*}
  Calculer.
  \begin{enumerate}
  \item $\sum\limits_{k = 0}^3 {{k^2}} $
  \item $\sum\limits_{k = 0}^3 {{{( - 1)}^k}} $
  \item $\sum\limits_{k = 0}^2 {\dfrac{k}{{k + 1}}} $
  \item $\sum\limits_{k = 0}^2 {(2k + 1} ) \times {( - 1)^k}$
  \end{enumerate}
\end{exercice*}
\begin{corrige}
  \begin{colenumerate}{2}
  \item $14$
  \item $\dfrac{7}{6}$
  \item 0
  \item 3
\end{colenumerate}

\vspace{-\baselineskip}
\end{corrige}