Chapter 5.3, Problem 19E

(a)

To determine

The ten terms of each of the recursively defined sequence $a_0=1,a_1=1$ and, for $n\ge 2$, $a_n=a_{n-1}-a_{n-2}$. Then find a general formula for $a_n$.

(b)

To determine

The ten terms of each of the recursively defined sequence $a_0=1,a_1=1$ and, for $n\ge 2$, $a_n=2a_{n-1}-2a_{n-2}$. Then find a general formula for $a_n$.

(c)

To determine

The ten terms of each of the recursively defined sequence $a_0=-2,a_1=0$ and, for $n\ge 2$, $a_n=-2a_{n-1}-10a_{n-2}$. Then find a general formula for $a_n$.