Respuesta :

The series is a geometric series and the sum of the first 8 terms of the series 48, 60, 75 is 952.32

How to determine the sum of the first 8 terms?

The series is given as:

48, 60, 75

The above series is a geometric series with the following parameters:

First term, a = 48

Common ratio, r = 1.25

The sum of n terms is:

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

So, we have:

[tex]S_8 = \frac{48 * (1.25^8 - 1)}{1.25 -1}[/tex]

Evaluate

[tex]S_8 = 952.32[/tex]

Hence, the sum of the first 8 terms of the series is 952.32

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