Algebra
# Arithmetic Progressions

Evaluate

\[ 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19. \]

\[ \begin{array} { l l l }

2 & = 2 & = 1 \times 2 \\
2 + 4 & = 6 & = 2 \times 3 \\
2 + 4 + 6 & = 12 & = 3 \times 4 \\
\vdots & \vdots & \vdots \\
\end{array} \]

According to the above pattern, what is

\[ 2 + 4 + 6 + \ldots + 30 ? \]

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