Tutorial Exercise Test the series for convergence or divergence. 6 6 6 6 6 + + 79 11 13 15 Step 1 The series Step 2 Let b = 6 9 6 2n + 5 6 6 6 11 13 15 + can be rewritten as (-1)^-1 n=1 Then, bis positive, decreasing as n→ ∞, and lim bn = n-0⁰ 2n + 5 6 2n +5 6 X 2n +5
Tutorial Exercise Test the series for convergence or divergence. 6 6 6 6 6 + + 79 11 13 15 Step 1 The series Step 2 Let b = 6 9 6 2n + 5 6 6 6 11 13 15 + can be rewritten as (-1)^-1 n=1 Then, bis positive, decreasing as n→ ∞, and lim bn = n-0⁰ 2n + 5 6 2n +5 6 X 2n +5
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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![Tutorial Exercise
Test the series for convergence or divergence.
6
6
6
7 9
11
Step 1
The series
Step 2
Let bn
=
6
7
6
9
6
2n + 5
+
+
6
13
+
6
15
6
6
6
11 13 15
+
00
can be rewritten as Σ (1)" - 1
n = 1
=
Then, bis positive, decreasing as n → ∞, and lim bn
n→∞
2n + 5
6
2n + 5
6
2n +5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3cf874b-7a7b-478f-a7b8-421442e72224%2Fcc4b44ed-8b09-4180-abf8-a5e793a3a00a%2Fkwyucy_processed.png&w=3840&q=75)
Transcribed Image Text:Tutorial Exercise
Test the series for convergence or divergence.
6
6
6
7 9
11
Step 1
The series
Step 2
Let bn
=
6
7
6
9
6
2n + 5
+
+
6
13
+
6
15
6
6
6
11 13 15
+
00
can be rewritten as Σ (1)" - 1
n = 1
=
Then, bis positive, decreasing as n → ∞, and lim bn
n→∞
2n + 5
6
2n + 5
6
2n +5
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