Let r = 1717. 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 INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise. A. Consider the sequence {nr"}. lim nr¹ = 0 1-00 B. Take my word for it that it can be shown that Now consider the series n=1 nr" = 17/24 n=1 nr" i=1 ² − (n + 1)²+¹ +r (1-r)² NpR+2
Let r = 1717. 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 INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise. A. Consider the sequence {nr"}. lim nr¹ = 0 1-00 B. Take my word for it that it can be shown that Now consider the series n=1 nr" = 17/24 n=1 nr" i=1 ² − (n + 1)²+¹ +r (1-r)² NpR+2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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![Letr = 171.
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 INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise.
A. Consider the sequence {nr"}.
lim nr" 0
12-00
B. Take my word for it that it can be shown that
Now consider the series
8T
n=1
nr = 17/24
n=1
nrn
i=1
npr+2
·(n+1)p+¹+r
(1-r)²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccac55ee-732b-4607-a38e-f5bd0a8aacb2%2F46096646-6708-41bb-985d-517393b6a9ad%2F5w686ik_processed.png&w=3840&q=75)
Transcribed Image Text:Letr = 171.
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 INF if it diverges to infinity, MINF if it diverges to minus infinity, or DIV otherwise.
A. Consider the sequence {nr"}.
lim nr" 0
12-00
B. Take my word for it that it can be shown that
Now consider the series
8T
n=1
nr = 17/24
n=1
nrn
i=1
npr+2
·(n+1)p+¹+r
(1-r)²
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