# Math Help - Whats the solution to this model?

1. ## Whats the solution to this model?

Xn+2 = 3Xn+1 - 27/16Xn

X0 = 800
X1 = 1000

Xn = ?

I've tried iterating it but don't see a pattern...

2. Originally Posted by Mitchell
Xn+2 = 3Xn+1 - 27/16Xn

X0 = 800
X1 = 1000

Xn = ?

I've tried iterating it but don't see a pattern...
Start by assuming a solution of the form $a \lambda^n$.

3. Originally Posted by Mitchell
Xn+2 = 3Xn+1 - 27/16Xn

X0 = 800
X1 = 1000

Xn = ?

I've tried iterating it but don't see a pattern...
Another suggestion is put in sufficient brackets so we know what you are asking.

CB

4. Captain Black's point is: Is this "Xn+2 = 3Xn+1 - (27/16)Xn" which is relatively simple (and what TheSecondSolution is assuming) or is it "Xn+2 = 3Xn+1 - 27/(16Xn)" which is much harder.