Use the Formula for the Sum of an Infinite Geometric Series
-$12 + 6 + 3 + \frac { 3 } { 2 } + \ldots$
A) 24
B) $- 12$
C) 21
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, $a = 12$ and $r = \frac{1}{2}$. Thus, $S = \frac{12}{1 - \frac{1}{2}} = \frac{12}{\frac{1}{2}} = 24$.

Use the Formula for the Sum of an Infinite Geometric 12+6+3+32+…12 + 6 + 3 + \frac { 3 } { 2 } + \ldots12+6+3+23​+…

Use the Formula for the Sum of an Infinite Geometric $12 + 6 + 3 + \frac { 3 } { 2 } + \ldots$