Find the sum of the terms of the infinite geometric sequence.
-$1 , \frac { 1 } { 2 } , \frac { 1 } { 4 } , \cdots$
A) 2
B) $\frac { 1 } { 2 }$
C) 1
D) $\frac { 3 } { 2 }$

Question

Quizplus · Accepted Answer

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

Find the Sum of the Terms of the Infinite Geometric 1,12,14,⋯1 , \frac { 1 } { 2 } , \frac { 1 } { 4 } , \cdots1,21​,41​,⋯

Find the Sum of the Terms of the Infinite Geometric $1 , \frac { 1 } { 2 } , \frac { 1 } { 4 } , \cdots$