Find the sum of the terms of the infinite geometric sequence.
-$96,24,6 , \cdots$
A) 128
B) $- 32$
C) 96
D) 126

Name: Find the sum of the terms of the infinite geometric sequence. -$96,24,6 , \cdots$ A) 128 B) $- 32$ C) 96 D) 126
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Quizplus · Accepted Answer

The sum of an infinite geometric series can be found using the formula $S = \frac{a}{1 - r}$, where $a$ is the first term and $r$ is the common ratio. Here, $a = 96$ and $r = \frac{24}{96} = \frac{1}{4}$. Thus, $S = \frac{96}{1 - \frac{1}{4}} = \frac{96}{\frac{3}{4}} = 128$.

Find the Sum of the Terms of the Infinite Geometric 96,24,6,⋯96,24,6 , \cdots96,24,6,⋯

Find the Sum of the Terms of the Infinite Geometric $96,24,6 , \cdots$