Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 14E
Related questions
Question
Use any method to determine if the series converges or diverges. Give reasons for your answer.
![10) n
-1)" 1
n 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F32a17b0d-da1e-491a-8c96-0f01cecd5dd0%2F8c73622a-020a-434d-9af9-97ec71fc46f5%2Fk7nq64x.png&w=3840&q=75)
Transcribed Image Text:10) n
-1)" 1
n 1
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
The given series is
![-(-1)110)
10 n](https://content.bartleby.com/qna-images/answer/32a17b0d-da1e-491a-8c96-0f01cecd5dd0/59ca1e75-c2fa-4515-b0c1-64bb31d9164b/l4pz0cp.png)
Step 2
The n-th term of the series is
![(-1)" (1-10)
10) п
an
п](https://content.bartleby.com/qna-images/answer/32a17b0d-da1e-491a-8c96-0f01cecd5dd0/59ca1e75-c2fa-4515-b0c1-64bb31d9164b/zd07zk.png)
Step 3
Note:
![(i)
The n-th term test:
lim an
0 is the necessary condition for a series to be
п-0
convergent
n
(ii)
lim
ex
1+
пэ0о](https://content.bartleby.com/qna-images/answer/32a17b0d-da1e-491a-8c96-0f01cecd5dd0/59ca1e75-c2fa-4515-b0c1-64bb31d9164b/5kcowsq.png)
Step by step
Solved in 6 steps with 5 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell