Question 107
A sequence of numbers is defined using the relation
$$
a_{n} = -a_{n-1} + 6 a_{n-2}
$$
where $a_{1} = 2$, $a_{2} = 1$. Find $a_{100} + 3 a_{99}$.
$$
a_{n} = -a_{n-1} + 6 a_{n-2}
$$
where $a_{1} = 2$, $a_{2} = 1$. Find $a_{100} + 3 a_{99}$.