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anonymous

  • one year ago

find the sum of the infinite geometric series, if it exists. -30 -6 -6/5 -6/25 -.....

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  1. anonymous
    • one year ago
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    is it times 5? do not exist is an answer choice

  2. anonymous
    • one year ago
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    does not exist*

  3. anonymous
    • one year ago
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    r is not 5, it's 1/5 (dividing by 5 = multiplying by 1/5). \[S_n=\frac{ a_1 }{ 1-r }\]

  4. anonymous
    • one year ago
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    a_1 is the first term and r is 1/5

  5. anonymous
    • one year ago
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    a_1=-30 a_2= -30/1-1/5?

  6. anonymous
    • one year ago
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    \(\frac{ -30 }{ 1-\frac{ 1 }{ 5 } }\) is the sum of the series. you don't need any term other than the first one. All you have to do is simplify that to one number

  7. anonymous
    • one year ago
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    37.5 = -75/2

  8. anonymous
    • one year ago
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    that's the answer

  9. anonymous
    • one year ago
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    ok cool thank you!

  10. anonymous
    • one year ago
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    you're welcome

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