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anonymous

  • one year ago

Will give a medal: Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -18, 3, negative one divided by two, ... Just need an explanation on how to do these types of problems.

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  1. IrishBoy123
    • one year ago
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    Find the common ratio first

  2. anonymous
    • one year ago
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    @irishboy123 I didn't think there was one.

  3. anonymous
    • one year ago
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    @LynFran Could you please help?

  4. IrishBoy123
    • one year ago
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    \(108 \times ?? = -18\) \(-18 \times ?? = 3\) \( 3 \times ?? = -\frac{1}{2} \)

  5. anonymous
    • one year ago
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    -1/6 @IrishBoy123

  6. anonymous
    • one year ago
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    So then what? @IrishBoy123

  7. IrishBoy123
    • one year ago
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    yes so you took 108 and started multiplying it by -1/6 so the terms of the sequence gradually becomes what?

  8. anonymous
    • one year ago
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    0?

  9. IrishBoy123
    • one year ago
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    yes

  10. anonymous
    • one year ago
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    So converges at 0?

  11. IrishBoy123
    • one year ago
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    y https://www.mathsisfun.com/definitions/converging-sequence.html

  12. anonymous
    • one year ago
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    Can you help me with one more? Write the sum using summation notation, assuming the suggested pattern continues. -8 - 3 + 2 + 7 + ... + 67

  13. anonymous
    • one year ago
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    And it converges at 0 because the values get closer and closer to 0

  14. IrishBoy123
    • one year ago
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    yes for next one, post new thread

  15. anonymous
    • one year ago
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    Ok

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