JavarionF347859 JavarionF347859
  • 25-10-2022
  • Mathematics
contestada

geometric series in context

Respuesta :

MaddeeB498655 MaddeeB498655
  • 25-10-2022

Solution

For this case we can model the problem with a geometric series given by:

[tex]a_n=600(1+0.2)^{n-1}[/tex]

And we can find the value for n=23 and we got:

[tex]a_{23}=600(1.2)^{23-1}=33123.69[/tex]

And rounded to the neares whole number we got 33124

and using the sum formula we got:

[tex]S_{23}=\frac{600(1.2^{23}-1)}{1.2-1}=195742[/tex]

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