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anonymous

  • one year ago

Find the sum of the infinite geometric series, if it exists. 1/2 -2+ 8 -...

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  1. ganeshie8
    • one year ago
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    see any pattern ?

  2. ganeshie8
    • one year ago
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    1/2 -2 8 what next ?

  3. anonymous
    • one year ago
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    times -4?

  4. ganeshie8
    • one year ago
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    Yes!

  5. anonymous
    • one year ago
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    here's my answer choices...

  6. anonymous
    • one year ago
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    a.-8192 b.1/10 c.32,768 d.does not exist

  7. ganeshie8
    • one year ago
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    so the common ratio is \(-4\) what do you know about the condition for convergence of geometric series ?

  8. anonymous
    • one year ago
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    off of the top of my head, nothing. im overwhlemed so thanks for your patience.

  9. anonymous
    • one year ago
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    so d is my answer? because if its not. what am i missing or doing wrong?

  10. ganeshie8
    • one year ago
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    Notice that the terms itself are alternating and blowing up : 1/2 -2 8 -32 128 ..... . so intuitively it appears that the sum must not converge, that is the sum `does not exist`

  11. anonymous
    • one year ago
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    ok i see. thank you!

  12. ganeshie8
    • one year ago
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    if you look up ur notes, im sure you will find a nice criterian for convergence of geometric series

  13. anonymous
    • one year ago
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    we aren't using a book. just worksheets with formulas on them.

  14. anonymous
    • one year ago
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    thank you, i really appreciate your help.

  15. Jhannybean
    • one year ago
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    http://seriestestmjs.weebly.com/uploads/1/1/5/7/11577982/2663460_orig.jpg That might help you :)

  16. anonymous
    • one year ago
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    @Jhannybean thanks love! i appreciate it!

  17. ganeshie8
    • one year ago
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    Here is the test for geometric series : If the common ratio is between -1 and 1, then the sum converges, otherwise the sum doesn't converge.

  18. anonymous
    • one year ago
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    @ganeshie8 ok i see, i see.

  19. dan815
    • one year ago
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    |dw:1439181519693:dw|

  20. ganeshie8
    • one year ago
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    goes wid the caption ;) |dw:1439181598024:dw|

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