Recurrence Relation

Given the recurrence relation $a_n=-4a_{n-1}+5a_{n-2}$ where $a_0=2,a_1=8$

$6\mathrm{.}1$ What is the type of this recurrence relation?

$6\mathrm{.}2$ What is a characteristic equation of this recurrence relation?

$6\mathrm{.}3$ From $6\mathrm{.}2,$ show steps of finding roots of the characteristic equation.

$6\mathrm{.}4$ Find the solution of the recurrence relation for $n=3,4,5,$dots