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Suppose a, and on are series with positive terms and o, is known to be divergent. (a) If a, > b, for all n, what can you say about a? Why? OSa, converges if and only if n-a, 2 b Sa, converges if and only if 2a, 2 bn- OSa, converges by the Comparison Test. O We cannot say anything about a, Oe, diverges by the Comparison Test. (b) If a, < b, for all n, what can you say about a,? Oa, converges if and only if a, OSe, converges if and only if a, s We cannot say anything about a, OSa, diverges by the Comparison Test. Sa, converges by the Comparison Test. O O

Suppose a, and on are series with positive terms and o, is known to be divergent. (a) If a, > b, for all n, what can you say about a? Why? OSa, converges if and only if n-a, 2 b Sa, converges if and only if 2a, 2 bn- OSa, converges by the Comparison Test. O We cannot say anything about a, Oe, diverges by the Comparison Test. (b) If a, < b, for all n, what can you say about a,? Oa, converges if and only if a, OSe, converges if and only if a, s We cannot say anything about a, OSa, diverges by the Comparison Test. Sa, converges by the Comparison Test. O O

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Suppose a, and on are series with positive terms and o, is known to be divergent. (a) If a, > b, for all n, what can you say about a? Why? OSa, converges if and only if n-a, 2 b Sa, converges if and only if 2a, 2 bn- OSa, converges by the Comparison Test. O We cannot say anything about a, Oe, diverges by the Comparison Test. (b) If a, < b, for all n, what can you say about a,? Oa, converges if and only if a, OSe, converges if and only if a, s We cannot say anything about a, OSa, diverges by the Comparison Test. Sa, converges by the Comparison Test. O O
Transcribed Image Text:Suppose a, and on are series with positive terms and o, is known to be divergent. (a) If a, > b, for all n, what can you say about a? Why? OSa, converges if and only if n-a, 2 b Sa, converges if and only if 2a, 2 bn- OSa, converges by the Comparison Test. O We cannot say anything about a, Oe, diverges by the Comparison Test. (b) If a, < b, for all n, what can you say about a,? Oa, converges if and only if a, OSe, converges if and only if a, s We cannot say anything about a, OSa, diverges by the Comparison Test. Sa, converges by the Comparison Test. O O
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