\begin{frame} \frametitle{Sigma Notation} \begin{block}{} We can use the \emph{sigma notation} to write sums more compactly: \begin{talign} \sum_{i = 1}^n h(i) \quad=\quad h(1) + h(2) + \ldots + h(n) \end{talign} \end{block} \pause \medskip \begin{exampleblock}{} \begin{malign} \sum_{i=1}^n i = \mpause[1]{1+2+3 +\ldots+n =} \mpause{ \frac{n(n+1)}{2} } \end{malign} \end{exampleblock} \pause\pause\pause \medskip \begin{exampleblock}{} \begin{malign} \sum_{i=1}^n i^2 = \mpause[1]{1^2 + 2^2 + 3^2 + \ldots+n^2} \mpause{= \frac{n(n+1)(2n+1)}{6}} \end{malign} \end{exampleblock} \end{frame}