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What do you have to do with this sequence?

Maybe it's clearer to write it as: \[a_n=a_{n-1}+3a_{n-2}\]\[a_0=1,a_1=2\]

its a recursive sequence

Yeah sorry

im trying to figure it out because the way i keep solving it is apparently wrong by the book

Yes, I see that, but what is your question about it?
Do you need terms of this sequence?

yes how do you solve it

Okay so if i was to do it like that then .. a2 = 2 + 3(1) = 5
right?

OK

and a3 = 5 + 2 = 7

is that right or wrong because my book says im wrong

You are, because it is 5 + 3*2 = 11

ohh true

sorry about that last part but the book says

dont worry i see the mistake

So
a4 = 11 + 3*5 = 26
a5= 26 + 3*11 = 59 etc.

thank you
lol

YW!
a0 and a1 are needed to give you a way to "start up"..

yea