Find the sum of the infinite geometric series. $\sum _ { n = 0 } ^ { \infty } 4 ( 0.8 ) ^ { n }$
A)24
B)20
C)22
D)21
E)19

Name: Find the sum of the infinite geometric series. $\sum _ { n = 0 } ^ { \infty } 4 ( 0.8 ) ^ { n }$ A)24 B)20 C)22 D)21 E)19
Brand: Quizplus
Rating: 4.8 (30 reviews)

Question

Find the sum of the infinite geometric series.   $\sum _ { n = 0 } ^ { \infty } 4 ( 0.8 ) ^ { n }$  
A)24
B)20
C)22
D)21
E)19

Quizplus · Accepted Answer

The sum of an infinite geometric series is given by the formula $ S = \frac{a}{1 - r} $, where $ a $ is the first term and $ r $ is the common ratio. Here, $ a = 4 $ and $ r = 0.8 $. Thus, $ S = \frac{4}{1 - 0.8} = \frac{4}{0.2} = 20 $.

Find the Sum of the Infinite Geometric Series ∑n=0∞4(0.8)n\sum _ { n = 0 } ^ { \infty } 4 ( 0.8 ) ^ { n }∑n=0∞​4(0.8)n

Find the Sum of the Infinite Geometric Series $\sum _ { n = 0 } ^ { \infty } 4 ( 0.8 ) ^ { n }$