Answer
\[\boxed{\begin{array}{*{20}{c}}
n&{{a_n}} \\
1&7 \\
2&{12} \\
3&{17} \\
4&{22} \\
5&{27}
\end{array}}\]
Work Step by Step
$$\eqalign{
& {\text{Let }}{a_n} = 5n + 2 \cr
& {\text{Complete for }}n = 1,2,3,4,5 \cr
& n = 1 \cr
& {a_1} = 5\left( 1 \right) + 2 = 7 \cr
& \cr
& n = 2 \cr
& {a_2} = 5\left( 2 \right) + 2 = 12 \cr
& \cr
& n = 3 \cr
& {a_3} = 5\left( 3 \right) + 2 = 17 \cr
& \cr
& n = 4 \cr
& {a_4} = 5\left( 4 \right) + 2 = 22 \cr
& \cr
& n = 5 \cr
& {a_5} = 5\left( 5 \right) + 2 = 27 \cr} $$
\[\begin{gathered}
{\text{Completing the table}} \hfill \\
\boxed{\begin{array}{*{20}{c}}
n&{{a_n}} \\
1&7 \\
2&{12} \\
3&{17} \\
4&{22} \\
5&{27}
\end{array}} \hfill \\
\end{gathered} \]
