BrainPrincess2017
BrainPrincess2017 BrainPrincess2017
  • 21-06-2019
  • Mathematics
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Find the sum of the following series. Round to the nearest hundredth if necessary.

Find the sum of the following series Round to the nearest hundredth if necessary class=

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sqdancefan
sqdancefan sqdancefan
  • 21-06-2019

Answer:

  11,184,808

Step-by-step explanation:

The n-th term of a geometric series is ...

  an = a1·r^(n-1)

To fill in the formula, we need a1·r^n, so need to multiply the last term shown by r.

The value of r is 32/8 = 4, and the other terms of interest are a1 = 8, a1·r^(n-1) = 8388608. So, the sum is ...

  [tex]S_n=\dfrac{ra_1r^{n-1}-a_1}{r-1}=\dfrac{4\cdot 8,388,608-8}{4-1}=11,184,808[/tex]

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