(adsbygoogle = window.adsbygoogle || []).push({}); How to solve recurrence relation ???

The Example is ;

Solve the recurrence relation a n + 2a n-1 + 2a n-2 = 0 where n ≥ 2 and a 0 = 1 a 1 = 3

a n = nth order

a n-1 = (n-1)th order.

a n-2 = (n-2)th order.

I've started the solving ;

a n = r^n

so

the equation will be ;

r^n + 2r^(n-1) + 2r^(n-2)

r^2 + 2r + 2 = 0

I could'nt do anything after find the roots ?

What should i do ?

Thanks for helping.

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# How to solve recurrence relation ?

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