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ridgeboy36

  • 2 years ago

What is the sum of the geometric sequence 2,8,32,... if there are 8 terms? Answers to choose from. a)21,845 b)43,690 c)65,535 d)87,380

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  1. geoffb
    • 2 years ago
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    Do you know the formula for the sum of \(n\) terms in a geometric sequence?

  2. ridgeboy36
    • 2 years ago
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    no could you guide me through this whole problem

  3. geoffb
    • 2 years ago
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    \[\Large{S_{n} = \frac{a_{1}(1-r^{n})}{1-r}}\] \(a_{1}\) is your first term. \(r\) is the ratio (what you multiply by between each term). \(n\) is the number of terms (given as 8).

  4. ridgeboy36
    • 2 years ago
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    ok

  5. ridgeboy36
    • 2 years ago
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    i got 43,690 as my answer is this correct?

  6. geoffb
    • 2 years ago
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    That's what I get.

  7. ridgeboy36
    • 2 years ago
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    thankyou

  8. geoffb
    • 2 years ago
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    No problem.

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