I need help finding a definate formula for the sequence described below.

a_1=2

a_2=5

a_(n+2) = 3a_(n+1) - 2a_n

It is very similar to the Fibonacci sequence.

Here is as far as I got.

x^n = (x^2 - 3x +2) = 0

x = 2, 1

Now I need to use these numbers to come up with a formula.