Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
What is the point of the formula n. 2k in Example 1 of Section 11? For example, what does ng 16 represent? It indicates that the 8th term in the subsequence is the 16th term in the original sequence. O It indicates that the 8th term in the subsequence is 16. It indicates a (non-sharp) bound on the first 8 terms in the subsequence. O It indicates that the 8th term in the original sequence is 16.

What is the point of the formula n. 2k in Example 1 of Section 11? For example, what does ng 16 represent? It indicates that the 8th term in the subsequence is the 16th term in the original sequence. O It indicates that the 8th term in the subsequence is 16. It indicates a (non-sharp) bound on the first 8 terms in the subsequence. O It indicates that the 8th term in the original sequence is 16.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter14: Sequences And Mathematical Induction
Section14.1: Arithmetic Sequences
Problem 79PS
See similar textbooks
icon
Related questions
Question
What is the point of the formula nk 2k in Example 1 of Section 11? For example, what does n8 16 represent? O It indicates that the 8th term in the subsequence is the 16th term in the original sequence. It indicates that the 8th term in the subsequence is 16. O It indicates a (non-sharp) bound on the first 8 terms in the subsequence. O It indicates that the 8th term in the original sequence is 16.
Transcribed Image Text:What is the point of the formula nk 2k in Example 1 of Section 11? For example, what does n8 16 represent? O It indicates that the 8th term in the subsequence is the 16th term in the original sequence. It indicates that the 8th term in the subsequence is 16. O It indicates a (non-sharp) bound on the first 8 terms in the subsequence. O It indicates that the 8th term in the original sequence is 16.
Example 1 Let (sn) be the sequence defined by sn = n²(-1)". The positive terms of this sequence comprise a subsequence. In this case, the sequence (Sn) is (-1, 4, -9, 16, -25, 36, -49, 64, . . .) and the subsequence is (4, 16, 36, 64, 100, 144, More precisely, the subsequence is (Sn)kEN where n=2k so that sn=(2k)² (–1)2k=4k². The selection function o is given by o(k)=2k.
Transcribed Image Text:Example 1 Let (sn) be the sequence defined by sn = n²(-1)". The positive terms of this sequence comprise a subsequence. In this case, the sequence (Sn) is (-1, 4, -9, 16, -25, 36, -49, 64, . . .) and the subsequence is (4, 16, 36, 64, 100, 144, More precisely, the subsequence is (Sn)kEN where n=2k so that sn=(2k)² (–1)2k=4k². The selection function o is given by o(k)=2k.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS