Question

Find the sum of this infinite geometric series where a1=0.3 and r=0.1

Answer 1

Answer:

1/3

Step-by-step explanation:

The formula for computing the sum of an infinite geometric series is

$S=\frac{a_1}{1-r}$ where r is between -1 and 1 and $r$ is the common ratio, and $a_1$ is the first term of the series.

So let's plug in:

$S=\frac{0.3}{1-0.1}$

$S=\frac{0.3}{0.9}$

$S=\frac{3}{9}$ I multiplied bottom and top by 10.

$S=\frac{1}{3}$ I divided top and bottom by 3.

The sum is 1/3.