Let a1=2, a2=0, a3=-14 and an+1=9an-23an-1+15an-2 for n>= 3. Show by induction that an=3n-1-5n-1+2 for n>=1.
The Attempt at a Solution
Ok this is annoying to type...
Base Case is true, which is the easy part.
The induction part I am not going to list all the steps since it is a pain in the bum to write it out so here it is where I got stuck (it might be wrong too :P):
3n-5n+2 = an+1=9an-23an-1+15an-2
What do I do thanks?