Answer
\[22\]
Work Step by Step
For the ninth term n = 9:
\[\begin{align}
& {{a}_{9}}={{a}_{1}}+\left( n-1 \right)d \\
& =-2+\left( 9-1 \right)\left( 3 \right) \\
& =-2+8\left( 3 \right) \\
& =-2+24
\end{align}\]
Simplify further as:
\[\begin{align}
& {{a}_{9}}=-2+24 \\
& =22
\end{align}\]
Hence, the ninth term of the arithmetic sequence is\[22\].
