Question

What is the sum of the infinite geometric series where the beginning term is $2$ and the common ratio is $3$?

• A. $1$
• B. $-1$
• C. $2$
• D. $-2$

Answer 1

Answer: (B)

$-1$

From the given information, we have

first term $=a=2$, common ratio $r=3$

We know $S=\frac{a}{1-r}$
Therefore, $S=\frac{2}{1-3}$
$\Rightarrow S=-1$