Find the sum of the infinite geometric sequence.
2 + 0.4 + 0.08 ...

A)s = 2.5
B)s = 6.5
C)s = 0.1
D)s = 4.5
E)s = 0.5

Name: Find the sum of the infinite geometric sequence. 2 + 0.4 + 0.08 ... A)s = 2.5 B)s = 6.5 C)s = 0.1 D)s = 4.5 E)s = 0.5
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Question

Find the sum of the infinite geometric sequence. ​
2 + 0.4 + 0.08 ...
​
A)s = 2.5
B)s = 6.5
C)s = 0.1
D)s = 4.5
E)s = 0.5

Quizplus · Accepted Answer

The sum of an infinite geometric sequence can be found using the formula $s = \frac{a}{1 - r}$, where $a$ is the first term and $r$ is the common ratio. Here, $a = 2$ and $r = 0.2$, so $s = \frac{2}{1 - 0.2} = \frac{2}{0.8} = 2.5$.

Find the Sum of the Infinite Geometric Sequence