I'm trying to solve the following recurrence equation an=10an−2.
Initial conditions: a0=1, a1=10
I have tried to use characteristic polynomial and generating functions but both methods lead to contradiction.
I think I should observe Neven and Nodd as different cases but I don't know how to do it formally.
Any help would be appreciated.
Answer
We need initial values for a0 and for a1 to start with.
Notice that, a2=10a0,a4=10a2=102a0 a6=10a4=103a0
With the given initial values we get a2k=10ka0=10k
Similarly you get a2k+1=10k+1
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