nickey5128 nickey5128
  • 24-05-2021
  • Mathematics
contestada

Find the sum of the geometric series if: n = 8, r = 3, a = 1.​

Respuesta :

gmany
gmany gmany
  • 24-05-2021

Answer:

[tex]\huge\boxed{S_8=3,280}[/tex]

Step-by-step explanation:

The formula:

[tex]S_n=\dfrac{a_1(1-r^n)}{1-r}[/tex]

Substitute:

[tex]n=8;\ r=3;\ a_1=1\\\\S_8=\dfrac{1\cdot(1-3^8)}{1-3}=\dfrac{1-6,561}{-2}=\dfrac{6,560}{2}=3,280[/tex]

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