[tex] \bf n^{th}\textit{ term of a geometric sequence}
\\\\
a_n=a_1\cdot r^{n-1}\qquad
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-6\\
r=-4\\
n=7
\end{cases}
\\\\\\
a_7=-6(-4)^{7-1}\implies a_7=-6(-4)^6\implies a_7=-24576 [/tex]
