anonymous
  • anonymous
an = an−1 + 3an−2, a0 = 1, a1 = 2
Discrete Math
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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ZeHanz
  • ZeHanz
What do you have to do with this sequence?
ZeHanz
  • ZeHanz
Maybe it's clearer to write it as: \[a_n=a_{n-1}+3a_{n-2}\]\[a_0=1,a_1=2\]
anonymous
  • anonymous
its a recursive sequence

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anonymous
  • anonymous
Yeah sorry
anonymous
  • anonymous
im trying to figure it out because the way i keep solving it is apparently wrong by the book
ZeHanz
  • ZeHanz
Yes, I see that, but what is your question about it? Do you need terms of this sequence?
anonymous
  • anonymous
yes how do you solve it
ZeHanz
  • ZeHanz
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.
anonymous
  • anonymous
Okay so if i was to do it like that then .. a2 = 2 + 3(1) = 5 right?
ZeHanz
  • ZeHanz
OK
anonymous
  • anonymous
and a3 = 5 + 2 = 7
anonymous
  • anonymous
is that right or wrong because my book says im wrong
ZeHanz
  • ZeHanz
You are, because it is 5 + 3*2 = 11
anonymous
  • anonymous
ohh true
anonymous
  • anonymous
sorry about that last part but the book says
anonymous
  • anonymous
dont worry i see the mistake
anonymous
  • anonymous
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
ZeHanz
  • ZeHanz
So a4 = 11 + 3*5 = 26 a5= 26 + 3*11 = 59 etc.
anonymous
  • anonymous
thank you lol
ZeHanz
  • ZeHanz
YW! a0 and a1 are needed to give you a way to "start up"..
anonymous
  • anonymous
yea

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