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marcybaby

Find the general term an for the geometric sequence a1=-3 and a2=6?

  • 11 months ago
  • 11 months ago

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  1. marcybaby
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    \[a_{1}=-3 and a_{2}=6\]

    • 11 months ago
  2. RadEn
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    use the formula : an = a1 r^(n-1) with a1 is given -3 and to get the ratio(r), defined r = a2/a1 = 6/-3 = -2 therefore, an = a1 * r^(n-1) an = -3 * (-2)^(n-1) |dw:1367598379663:dw|

    • 11 months ago
  3. marcybaby
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    so that's the answer? @RadEn I'm confused

    • 11 months ago
  4. nincompoop
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    it is not the answer, rather hint as how to solve the problem.

    • 11 months ago
  5. marcybaby
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    ahhh!! i'm so lost and confused!! @nincompoop

    • 11 months ago
  6. waterineyes
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    Can you find here the common ratio "r" ??

    • 11 months ago
  7. marcybaby
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    -2?

    • 11 months ago
  8. waterineyes
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    Yep..

    • 11 months ago
  9. waterineyes
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    So, general term can be found as: \[\large \color{green}{a_n = a \cdot r^{n-1}}\]

    • 11 months ago
  10. waterineyes
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    a = -3 and r = -2.. Plug in and find..

    • 11 months ago
  11. marcybaby
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    6?

    • 11 months ago
  12. waterineyes
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    How?

    • 11 months ago
  13. waterineyes
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    Use that formula,

    • 11 months ago
  14. marcybaby
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    -3(-2)^n-1?

    • 11 months ago
  15. waterineyes
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    Yep, this is the general term you require...

    • 11 months ago
  16. marcybaby
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    okay, but I am stuck here. I dont what is the next step

    • 11 months ago
  17. marcybaby
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    i get 6^n-1?

    • 11 months ago
  18. waterineyes
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    Hey, this is the required answer, you can't solve it further..

    • 11 months ago
  19. marcybaby
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    so this cant get be simplified any more?

    • 11 months ago
  20. waterineyes
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    No..

    • 11 months ago
  21. waterineyes
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    \[\large a_n = -3\cdot (-2)^{n-1}\]

    • 11 months ago
  22. marcybaby
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    okay... how come tho? 6^n-1 looks like an ideal answer to me.

    • 11 months ago
  23. waterineyes
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    You cannot multiply \(-3\) with \((-2)^{n-1}\)

    • 11 months ago
  24. marcybaby
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    ohhhhhhhhhhh!!!!!!!!!! duh!! now i get it! my brain hurts been studing all week.

    • 11 months ago
  25. waterineyes
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    It is okay..

    • 11 months ago
  26. marcybaby
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    thank you for your time and patience

    • 11 months ago
  27. waterineyes
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    You are welcome dear..

    • 11 months ago
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