anonymous
  • anonymous
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
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Do you know the formula for the sum of \(n\) terms in a geometric sequence?
anonymous
  • anonymous
no could you guide me through this whole problem
anonymous
  • anonymous
\[\Large{S_{n} = \frac{a_{1}(1-r^{n})}{1-r}}\] \(a_{1}\) is your first term. \(r\) is the ratio (what you multiply by between each term). \(n\) is the number of terms (given as 8).

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anonymous
  • anonymous
ok
anonymous
  • anonymous
i got 43,690 as my answer is this correct?
anonymous
  • anonymous
That's what I get.
anonymous
  • anonymous
thankyou
anonymous
  • anonymous
No problem.

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