Respuesta :

[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]

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