Answer:
1/3
Step-by-step explanation:
The formula for computing the sum of an infinite geometric series is
[tex]S=\frac{a_1}{1-r}[/tex] where r is between -1 and 1 and [tex]r[/tex] is the common ratio, and [tex]a_1[/tex] is the first term of the series.
So let's plug in:
[tex]S=\frac{0.3}{1-0.1}[/tex]
[tex]S=\frac{0.3}{0.9}[/tex]
[tex]S=\frac{3}{9}[/tex] I multiplied bottom and top by 10.
[tex]S=\frac{1}{3}[/tex] I divided top and bottom by 3.
The sum is 1/3.
