Hi

Is this the correct general solution for the following recurrence relation

$\displaystyle 0 = a_{n+2} + a_{n+1} - 12a_{n}$

$\displaystyle x^2 + x -12 = 0$

(x+4)(x-3) = 0

x = -4, x = 3

Therefore the general solution is

$\displaystyle a_n = A-4^n + B3^n$

where A and B are arbitrary constants

*I'm not sure if it's ok to have the negative in there.

Thanks for any time + help