Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. 81 8 – 9 + 8 729 +.. 64 Step 1 81 To see 8 – 9 + 729 + ... as a geometric series, we must express it as 00 Σ 8 64 arn - 1. n = 1 For any two successive terms in the geometric series arn - 1, the ratio of the the two terms, arn n = 1 arn -I simplifies into an algebraic expression given by ||

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section: Chapter Questions
Problem 6CC
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Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum.
81
8 – 9 +
8
729
+ ...
-
64
Step 1
729
81
9 +
8
Тo see 8
+ ... as a geometric series, we must express it as
64
2 arn -
- 1.
n = 1
00
arn
For any two successive terms in the geometric series
arn - 1, the ratio of the the two terms,
ar" -I
n = 1
simplifies into an algebraic expression given by ||
Transcribed Image Text:Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. 81 8 – 9 + 8 729 + ... - 64 Step 1 729 81 9 + 8 Тo see 8 + ... as a geometric series, we must express it as 64 2 arn - - 1. n = 1 00 arn For any two successive terms in the geometric series arn - 1, the ratio of the the two terms, ar" -I n = 1 simplifies into an algebraic expression given by ||
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