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Jimboslice Group Title

The following function defines a recursive sequence. f(0) = -5 f(1) = 20 f(n) = -4•f(n -1) - 3•f(n - 2); for n > 1 Which of the following sequences is defined by this recursive function? -5, -20, -65, -200, … -5, 20, -92, 372, … -5, -24, -92, -372, … -5, 20, -65, 200, …

  • one year ago
  • one year ago

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  1. amistre64 Group Title
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    what is the first term?

    • one year ago
  2. Jimboslice Group Title
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    f(0) = -5 ?

    • one year ago
  3. amistre64 Group Title
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    yes, so they give you the first one what is the second term?

    • one year ago
  4. amistre64 Group Title
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    we can narrow the options by eliminating the ones that have the wrong first and second terms, then the third term gets us to only one option that fits

    • one year ago
  5. amistre64 Group Title
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    we can use the rule given to determine f(2) f(n) = -4•f(n -1) - 3•f(n - 2) f(2) = -4•f(2 -1) - 3•f(2 - 2) f(2) = -4•f(1) - 3•f(0) ^^ ^^ we already know these values to plug into the rule

    • one year ago
  6. Jimboslice Group Title
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    ok so what now ?

    • one year ago
  7. amistre64 Group Title
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    that IS the "what now" you work it out

    • one year ago
  8. amistre64 Group Title
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    or you ask questions about what it is you dont understand

    • one year ago
  9. Jimboslice Group Title
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    oh ok hold on

    • one year ago
  10. Jimboslice Group Title
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    i dont get what im suppose to work out ....

    • one year ago
  11. amistre64 Group Title
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    f(n) = -4•f(n -1) - 3•f(n - 2) f(2) = -4•f(2 -1) - 3•f(2 - 2) f(2) = -4•f(1) - 3•f(0) ^^ ^^ we already know these values to plug into the rule

    • one year ago
  12. amistre64 Group Title
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    f(0) = -5 f(1) = 20

    • one year ago
  13. amistre64 Group Title
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    wherever you see f(0), replace it by -5 wherever you see f(1), replace it by 20

    • one year ago
  14. Jimboslice Group Title
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    what if i see f(2)

    • one year ago
  15. amistre64 Group Title
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    f(2) is what we are calculating ... f(2) will equal ______________

    • one year ago
  16. Jimboslice Group Title
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    f(2) = -4•f(1) - 3•f(0) =-65 correct?

    • one year ago
  17. amistre64 Group Title
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    very good :)

    • one year ago
  18. amistre64 Group Title
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    so what we are looking for is a sequence that starts out: f(0), f(1), f(2) -5, 20, -65 only one of the options starts out like this

    • one year ago
  19. Jimboslice Group Title
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    the last one ..

    • one year ago
  20. amistre64 Group Title
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    correct

    • one year ago
  21. Jimboslice Group Title
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    thank you very much for explaining

    • one year ago
  22. amistre64 Group Title
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    good luck :)

    • one year ago
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