Use the Formula for the Sum of an Infinite Geometric Series
-$$5 + \frac { 5 } { 2 } + \frac { 5 } { 4 } + \frac { 5 } { 8 } + \ldots$$
A) 10
B) $\frac { 15 } { 2 }$
C) $\frac { 5 } { 2 }$
D) does not exist

Question

Quizplus · Accepted Answer

The sum of an infinite geometric series is given by $S = \frac{a}{1 - r}$, where $a$ is the first term and $r$ is the common ratio. Here, $a = 5$ and $r = \frac{1}{2}$. Thus, $S = \frac{5}{1 - \frac{1}{2}} = \frac{5}{\frac{1}{2}} = 10$.

Use the Formula for the Sum of an Infinite Geometric 5+52+54+58+…5 + \frac { 5 } { 2 } + \frac { 5 } { 4 } + \frac { 5 } { 8 } + \ldots5+25​+45​+85​+…

Use the Formula for the Sum of an Infinite Geometric $5 + \frac { 5 } { 2 } + \frac { 5 } { 4 } + \frac { 5 } { 8 } + \ldots$