Answer
$a_{7}=\dfrac{3}{32}$
Work Step by Step
Using $a_n=a_1r^{n-1}$, then
\begin{array}{l}
a_{7}=6\left( -\dfrac{1}{2} \right)^{7-1}\\\\
a_{7}=6\left( \dfrac{1}{64} \right)\\\\
a_{7}=\dfrac{3}{32}
.\end{array}
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