[tex]\bf \begin{array}{cll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_5&36\\
a_6&36\cdot \frac{1}{3}\\\\
a_7&\left( 36\cdot \frac{1}{3} \right)\frac{1}{3}\\\\
a_8&\left( 36\cdot \frac{1}{3}\cdot \frac{1}{3} \right)\frac{1}{3}\\\\
a_9&\left( 36\cdot \frac{1}{3}\cdot \frac{1}{3}\cdot \frac{1}{3} \right)\frac{1}{3}\\\\
a_{10}&\left( 36\cdot \frac{1}{3}\cdot \frac{1}{3}\cdot \frac{1}{3}\cdot \frac{1}{3} \right)\frac{1}{3}
\end{array}[/tex]
[tex]\bf a_{10}=36\cdot r^5\implies a_{10}=36\left( \frac{1}{3} \right)^5\implies a_{10}=36\cfrac{1}{3^5}
\\\\\\
a_{10}=36\cdot \cfrac{1}{243}\implies a_{10}=\cfrac{4}{27}
[/tex]
