livvjlane livvjlane
  • 14-07-2021
  • Mathematics
contestada

Find the sum of the geometric series given a1=−2, r=2, and n=8.
A. -510
B. -489
C. -478
D. 2

Respuesta :

angrykai23
angrykai23 angrykai23
  • 14-07-2021

Answer:

A. -510

Step-by-step explanation:

We are given the variable values:

  • a = -2
  • r = 2
  • n = 8

Geometric series formula:

[tex]s = \frac{a( {r}^{n} \times - 1) }{r - 1} [/tex]

Plugging in values we have:

[tex]s = \frac{ - 2( {2}^{8} - 1) }{2 - 1} [/tex]

Simplifying the equation we are left with:

[tex] \frac{ - 2(255)}{1} = - 510[/tex]

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