well, is a geometric sequence, the first term's value is -2
to get the subsequent term's value, we'd multiply by "something" so-called the "common ratio"
well, if we simply just divide any of those values by the one before it, the quotient must be the "common ratio".
hmm say for exampl -32/8 = -4 <---- there's our common ratio
[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=-2\\
r=-4
\end{cases}\implies a_n=-2 (-4)^{n-1}[/tex]
