Since the characteristic roots are 1 and 2, you can expect the closed form to be:
then use your known (initial) values to determine the coefficients .
I need help finding a definate formula for the sequence described below.
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.
Sorry, but I just can't seem to understand this any more than what I have already done. What is the final formula that I should come up with? Maybe if I know the formula, I can understand how to get there. Where did "k" come from?