Question

Lets do some recursion problems, how to extend the principles to 3rd order relationships or something,

Answer 1

Fib=0 1 1 2 3 5.....
A_k=A_k-1 + A_k-2
Ao=[0 , 1]
[A1] = [1 1] [0]
[0 1] [1]

Answer 2

This T matrix
{1 1}
{0 1}
applied over and over to Ao gives us new Ak we want
can product relation ships be broken down into difference equations of higher order like this one