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Boris is investigating a geometric series with an initial term of 5. Each successive term is – 3 times the previous term. What is the sum of the first 12 terms of this series?

Respuesta :

jcherry99

Answer:

Sum = 1328600

Step-by-step explanation:

Givens

  • r = -3
  • n = 12
  • a = 5

Equation

Sum = a(1 - r^n)/(1 - r)

Solution

  • Sum = 5(1 - (-3)^12) / ( 1 - 3)
  • Sum = 5(1 - 531441) / - 2
  • Sum = 5(-531440) / - 2
  • Sum = 1328600

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