Use the Ratio Test to determine whether the series is convergent or divergent. 00 Σ n = 1 Identify an n+1 6n 16 Evaluate the following limit. lim n→8 Since lim n n→∞ 67 n+ 1 a n n+ 1 1, the series is convergent

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Use the Ratio Test to determine whether the series is convergent or divergent.
∞
n
Σ 67
Identify an
n+1
6n
n = 1
Evaluate the following limit.
an+
an
1
96
lim
n→∞
Since lim
n→ ∞
a
n+ 1
a
+ 1
n
1, the series is convergent
Transcribed Image Text:Use the Ratio Test to determine whether the series is convergent or divergent. ∞ n Σ 67 Identify an n+1 6n n = 1 Evaluate the following limit. an+ an 1 96 lim n→∞ Since lim n→ ∞ a n+ 1 a + 1 n 1, the series is convergent
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