Use $LaTeX: \displaystyle a_1=-6$ and $LaTeX: \displaystyle a_2=-2$ and $LaTeX: \displaystyle a_n=5a_{n-1} -9a_{n-2}$ to find $LaTeX: \displaystyle a_{6}$

Finding the next term in the sequence gives $LaTeX: \displaystyle a_3=(5)(-6)+(-9)(-2)=-12$
$LaTeX: \displaystyle a_{4}=(5)(-2)+(-9)(-12)=98$ .
$LaTeX: \displaystyle a_{5}=(5)(-12)+(-9)(98)=-942$ .
$LaTeX: \displaystyle a_{6}=(5)(98)+(-9)(-942)=8968$ .