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Sceptre12

  • one year ago

an = an−1 + 3an−2, a0 = 1, a1 = 2

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  1. ZeHanz
    • one year ago
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    What do you have to do with this sequence?

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

  3. Sceptre12
    • one year ago
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    its a recursive sequence

  4. Sceptre12
    • one year ago
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    Yeah sorry

  5. Sceptre12
    • one year ago
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    im trying to figure it out because the way i keep solving it is apparently wrong by the book

  6. ZeHanz
    • one year ago
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    Yes, I see that, but what is your question about it? Do you need terms of this sequence?

  7. Sceptre12
    • one year ago
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    yes how do you solve it

  8. ZeHanz
    • one year ago
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    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.

  9. Sceptre12
    • one year ago
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    Okay so if i was to do it like that then .. a2 = 2 + 3(1) = 5 right?

  10. ZeHanz
    • one year ago
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    OK

  11. Sceptre12
    • one year ago
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    and a3 = 5 + 2 = 7

  12. Sceptre12
    • one year ago
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    is that right or wrong because my book says im wrong

  13. ZeHanz
    • one year ago
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    You are, because it is 5 + 3*2 = 11

  14. Sceptre12
    • one year ago
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    ohh true

  15. Sceptre12
    • one year ago
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    sorry about that last part but the book says

  16. Sceptre12
    • one year ago
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    dont worry i see the mistake

  17. Sceptre12
    • one year ago
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    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

  18. ZeHanz
    • one year ago
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    So a4 = 11 + 3*5 = 26 a5= 26 + 3*11 = 59 etc.

  19. Sceptre12
    • one year ago
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    thank you lol

  20. ZeHanz
    • one year ago
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    YW! a0 and a1 are needed to give you a way to "start up"..

  21. Sceptre12
    • one year ago
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    yea

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