Chapter 5.3, Problem 4E

To determine

(a)

To calculate:

Find $f(2),f(3),f(4),andf(5)$ if $f$ is defined recursively by, $f(0)=f(1)=1$, and for $n=0,1,2,\mathrm{...}$

$f(n+1)=f(n)-f(n-1)$

To determine

(b)

To calculate:

Find $f(2),f(3),f(4),andf(5)$ if $f$ is defined recursively by, $f(0)=f(1)=1$, and for $n=0,1,2,\mathrm{...}$

$f(n+1)=f(n)f(n-1)$

To determine

(c)

To calculate:

Find $f(2),f(3),f(4),andf(5)$ if $f$ is defined recursively by, $f(0)=f(1)=1$, and for $n=0,1,2,\mathrm{...}$

$f(n+1)=f{(n)}^2+f{(n-1)}^3$

To determine

(d)

To calculate:

Find $f(2),f(3),f(4),andf(5)$ if $f$ is defined recursively by, $f(0)=f(1)=1$, and for $n=0,1,2,\mathrm{...}$

$f(n+1)=f(n)/f(n-1)$