Use a comparision test to determine if the series converges. OO 1 1+ 1 + 5 1 1 Σ ат [A] First, find an expression for an b where [B] When performing the comparison test, the best series to compare with would be 1 [C] Perform the comparison and the best result regarding the series is that the series diverges the test is inconclusive the series converges

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Question
Use a comparision test to determine if the series converges.
OO
1
1+
1
+
5
1
1
Σ
ат
[A] First, find an expression for an
b where
[B] When performing the comparison test, the best series to compare with would be
1
[C] Perform the comparison and the best result regarding the series is that
the series diverges
the test is inconclusive
the series converges
Transcribed Image Text:Use a comparision test to determine if the series converges. OO 1 1+ 1 + 5 1 1 Σ ат [A] First, find an expression for an b where [B] When performing the comparison test, the best series to compare with would be 1 [C] Perform the comparison and the best result regarding the series is that the series diverges the test is inconclusive the series converges
Expert Solution
Step 1

[A] Find an expression for an as follows.

1
The given series is a 1
3
00
1
1
+..
9
5
7
n-1
2(1)-
1
а, —
1
3 2(2)-
1
1
5 2(3)-
1
а,
2n 1
Step 2

[B] Obtain the best series to compare as follows.

1
. Also observe that b,
Зп
1
1
diverges
Σ
Let b
Зп 3
n=1
п
n1
n=1
W
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