Here is the problem:

Define a sequence $\displaystyle c_k$ by the rules

$\displaystyle c_0$ = 2

$\displaystyle c_1$ = 3

$\displaystyle c_k = 0.8c_{k-1} - 0.7c_{k-2}$

Compute $\displaystyle c_2$ through $\displaystyle c_6$

Anyway, I really struggle with these? Where do I start? What process do I go through? Can someone please walk me through this one problem?

Thanks