Use $LaTeX: \displaystyle a_1=-6$ and $LaTeX: \displaystyle a_2=-4$ and $LaTeX: \displaystyle a_n=5a_{n-1} +4a_{n-2}$ to find $LaTeX: \displaystyle a_{7}$

Finding the next term in the sequence gives $LaTeX: \displaystyle a_3=(5)(-6)+(4)(-4)=-46$
$LaTeX: \displaystyle a_{4}=(5)(-4)+(4)(-46)=-204$ .
$LaTeX: \displaystyle a_{5}=(5)(-46)+(4)(-204)=-1046$ .
$LaTeX: \displaystyle a_{6}=(5)(-204)+(4)(-1046)=-5204$ .
$LaTeX: \displaystyle a_{7}=(5)(-1046)+(4)(-5204)=-26046$ .