tuccc5414 tuccc5414
  • 21-10-2019
  • Mathematics
contestada

Use the geometric series formulas to find the sum of the geometric series.
0.8 + 0.64 + 0.512 + ⋯ + 0.32768

Respuesta :

carlosnegronmontoya carlosnegronmontoya
  • 26-10-2019

Answer:

2.68928

Step-by-step explanation:

The sum of geometric series formulas is

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

Where [tex]S_{n}[/tex] is the Sum, [tex]a_{1}[/tex] is the first member of the series, r the common ratio (in this case 0.8) and n is the number of terms.

Using the formula:

[tex]S_{n}=\frac{0.8(1-0.8^{5} )}{1-0.8}[/tex]

Then

S_{n}=2.68928

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