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anonymous

  • one year ago

I don't understand this problem: Write an infinite geometric series that converges to 2. Show your work.

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  1. anonymous
    • one year ago
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    What does is mean by converges to 2?

  2. jim_thompson5910
    • one year ago
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    this page may help https://www.ltcconline.net/greenl/courses/103b/seqSeries/INFGEO.HTM

  3. dan815
    • one year ago
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    |dw:1436403340796:dw|

  4. dan815
    • one year ago
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    it goes to 2

  5. dan815
    • one year ago
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    thats what it means by convergence

  6. dan815
    • one year ago
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    |dw:1436403560866:dw|

  7. dan815
    • one year ago
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    here is a picture to help you work it out geometricall lets take 2 squares each of area 1 side by side

  8. dan815
    • one year ago
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    |dw:1436403664033:dw|

  9. dan815
    • one year ago
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    |dw:1436403681530:dw|

  10. dan815
    • one year ago
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    |dw:1436403715523:dw|

  11. Empty
    • one year ago
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    You can solve this: \[2=\frac{1}{1-x}\] since the right hand side is the infinite geometric series and the left hand is what it's supposed to converge to, 2. The value x is the bit that's infinitely in the geometric series.

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