an = an−1 + 3an−2, a0 = 1, a1 = 2

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an = an−1 + 3an−2, a0 = 1, a1 = 2

Discrete Math
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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

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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
It says: If you want to know a certain number of this sequence, you need the two numbers before it. Take the last number and add 3 times the number before it to get the new one. That is why there are two start numbers given.\[a_2=a_1+3a_0\]\[a_3=a_2+3a_1\]So you can calculate every number in the sequence. I don't understand what you mean by 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
lol i never took into consideration a0 and a1 as being apart of the answer so i was so confused as to how they got 1,2,5, then 11 lol
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

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