BrainPrincess2017
BrainPrincess2017 BrainPrincess2017
  • 21-06-2019
  • Mathematics
contestada

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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