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
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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