The question is: An = An-1 + 6An-2 for n>=2, a0=3, a1=6
So far I have...
r^2-r-6=0 so the roots are r=-2,3.
I am stuck here and not sure where to go. Can someone please help me! Thanks in advance.
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You have the quadratic we need to work with OK.
Since the roots are -2 and 3, we have
Now, use the initial conditions,
If n=0, we have
If n=1, we have
The two equations to solve are:
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