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anonymous

  • one year ago

Evaluate the series 50 + 10 + 2 + . . .

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  1. anonymous
    • one year ago
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    I'm confused as to what "Evaluate" actually means. Answer choices: A) 62 B) 1/5 C) The series diverges; it does not have a sum D) 62.5

  2. SolomonZelman
    • one year ago
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    you divide by 5 every time. you start from 50 so you can write it as \(\large\color{black}{ \displaystyle \sum_{ n=0 }^{ \infty } ~ \dfrac{50}{5^n}}\)

  3. SolomonZelman
    • one year ago
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    this series definitely converges, will you give me that?

  4. anonymous
    • one year ago
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    Yeah

  5. SolomonZelman
    • one year ago
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    you can find the exact sum because it is geometric...

  6. SolomonZelman
    • one year ago
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    \(\Large\displaystyle\sum_{ n=0 }^{ \infty } ~ 50(1/5)^n=\frac{50}{1-\frac{1}{5}}=?\)

  7. anonymous
    • one year ago
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    we would get 125/2 or 62.5. Thanks. Is there any place where i could get a quick refresher on Geometric and arithmetic series?

  8. anonymous
    • one year ago
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    That is correct

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