Answer:
16
Step-by-step explanation:
a/(1-r)
Use the infinite geometric series formula.
ANSWER
[tex]S_{\infty} = 16 [/tex]
EXPLANATION
Given the series:
8 + 4 + 2 + . . .
The first term of the series is
[tex]a_1 = 8[/tex]
The common ratio is
[tex]r = \frac{4}{8} = \frac{1}{2} [/tex]
The sum of this series is given by
[tex]S_{\infty} = \frac{a_1}{1 - r} [/tex]
[tex]S_{\infty} = \frac{8}{1 - \frac{1}{2} } [/tex]
Simplify:
[tex]S_{\infty} = \frac{8}{\frac{1}{2} } = 8 \times 2 = 16 [/tex]
