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katiebugg Group Title

The sum of a geometric series is -2044. If the first term is -4 and the common ratio is 2, what is the final term in the sequence?

  • one year ago
  • one year ago

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  1. Yahoo! Group Title
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    Sn = a[r^n-1]/r-1

    • one year ago
  2. Yahoo! Group Title
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    use this and find n

    • one year ago
  3. waterineyes Group Title
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    Wait @Yahoo!

    • one year ago
  4. Yahoo! Group Title
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    then an = a*r^(n-1)

    • one year ago
  5. Yahoo! Group Title
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    Why @waterineyes any mistake

    • one year ago
  6. waterineyes Group Title
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    Sorry my mistake... Ha ha ha..

    • one year ago
  7. Yahoo! Group Title
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    \[-2044 = -4[2^n -1]/(2-1)\]

    • one year ago
  8. Yahoo! Group Title
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    511 = 2^n - 1 510 = 2^n

    • one year ago
  9. Yahoo! Group Title
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    find n??

    • one year ago
  10. rsadhvika Group Title
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    \(-2044 = -4. \frac{2^{n}-1}{2-1}\) \(-2044 = -4. (2^{n}-1)\) \(511 = 2^{n}-1\) \(512 = 2^{n}\) \(2^9 = 2^{n}\) 9=n

    • one year ago
  11. waterineyes Group Title
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    512

    • one year ago
  12. Yahoo! Group Title
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    sorry 512 = 2^n

    • one year ago
  13. Yahoo! Group Title
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    now n = 9

    • one year ago
  14. Yahoo! Group Title
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    subs in an = a * r^(n-1)

    • one year ago
  15. waterineyes Group Title
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    \[\large 2^n = 512 \implies 2^n = 2^9 \implies \color{green}{n = 9}\]

    • one year ago
  16. Yahoo! Group Title
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    an = -4 * 2^8

    • one year ago
  17. waterineyes Group Title
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    you can replace n here by 9 @Yahoo!

    • one year ago
  18. Yahoo! Group Title
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    256 * -4 = -1024

    • one year ago
  19. katiebugg Group Title
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    lol thanks!

    • one year ago
  20. Yahoo! Group Title
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    Welcome

    • one year ago
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