Given: An = 8n 8n +1 For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter oo if it diverges to infinity, -oo if it diverges to minus infinity, or DNE otherwise. (a) The series ∞ Σ(Αn). n=1 8 8+ 1 (b) The sequence {An}. 1
Given: An = 8n 8n +1 For both of the following answer blanks, decide whether the given sequence or series is convergent or divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter oo if it diverges to infinity, -oo if it diverges to minus infinity, or DNE otherwise. (a) The series ∞ Σ(Αn). n=1 8 8+ 1 (b) The sequence {An}. 1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 71E
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Question
![Given:
An
=
8n
8n +1
For both of the following answer blanks, decide whether the given sequence or series is convergent or
divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter oo if
it diverges to infinity, -oo if it diverges to minus infinity, or DNE otherwise.
(a) The series
∞
Σ(Αn).
n=1
8
8+ 1
(b) The sequence {An}. 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30f2ef89-ce64-4161-b7cf-3fd72303d16e%2F7c402d41-89a5-407e-8f94-ca7dec3ecc75%2F316slzp_processed.png&w=3840&q=75)
Transcribed Image Text:Given:
An
=
8n
8n +1
For both of the following answer blanks, decide whether the given sequence or series is convergent or
divergent. If convergent, enter the limit (for a sequence) or the sum (for a series). If divergent, enter oo if
it diverges to infinity, -oo if it diverges to minus infinity, or DNE otherwise.
(a) The series
∞
Σ(Αn).
n=1
8
8+ 1
(b) The sequence {An}. 1
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