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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 & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 9T
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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.
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