- #1

thesandbox

- 10

- 0

## Homework Statement

Create a closed form for:

ƒ

_{n}= 14ƒ

_{n − 1}− 32ƒ

_{n − 2}+ 24ƒ

_{n − 3}

## Homework Equations

Initial conditions:

ƒ(0) = 2

ƒ(1) = 5

ƒ(2) = 11

## The Attempt at a Solution

Because it's 3

^{rd}order, it has me confused as how to start it. I was thinking something along the lines of C

_{1}*λ

^{n}, C

_{2}*λ

^{n-1}like you would for say, the Fibonacci Sequence, but I'm not entirely sure. What are the first few steps in solving this and the method involved?