Answer
$a_{6}=\dfrac{243}{16}$
Work Step by Step
Using $a_n=a_1r^{n-1}$, then
\begin{array}{l}
a_{6}=64\left( \dfrac{3}{4} \right)^{6-1}\\\\
a_{6}=64\left( \dfrac{243}{1024} \right)\\\\
a_{6}=\dfrac{243}{16}
.\end{array}
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