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suppose San and Ση are series with positive terms and bn is known to be divergent. n (a) If an> bn for all n, what can you say about an? Why? a diverges by the Comparison Test. O We cannot say anything about an Ο Σ a converges if and only if n n.an z bn a converges if and only if 2a, ² b > a converges by the Comparison Test. (b) If an < b for all n, what can you say about an? Why? b Ο Σan converges if and only if an S n 4 a converges by the Comparison Test. a diverges by the Comparison Test. Ο We cannot say anything about San b O a converges if and only if an n

suppose San and Ση are series with positive terms and bn is known to be divergent. n (a) If an> bn for all n, what can you say about an? Why? a diverges by the Comparison Test. O We cannot say anything about an Ο Σ a converges if and only if n n.an z bn a converges if and only if 2a, ² b > a converges by the Comparison Test. (b) If an < b for all n, what can you say about an? Why? b Ο Σan converges if and only if an S n 4 a converges by the Comparison Test. a diverges by the Comparison Test. Ο We cannot say anything about San b O a converges if and only if an n

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 81E
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suppose San and Ση are series with positive terms and bn is known to be divergent. (a) If an> b for all n, what can you say about an? Why? n a diverges by the Comparison Test. O We cannot say anything about an Ο Σ a converges if and only if n n.an z bn. a converges if and only if 2a, 2b. a converges by the Comparison Test. (b) If an < b for all n, what can you say about an? Why? b. Ο Σan converges if and only if an n 4 a converges by the Comparison Test. a diverges by the Comparison Test. Ο We cannot say anything about San b O a converges if and only if an n
Transcribed Image Text:suppose San and Ση are series with positive terms and bn is known to be divergent. (a) If an> b for all n, what can you say about an? Why? n a diverges by the Comparison Test. O We cannot say anything about an Ο Σ a converges if and only if n n.an z bn. a converges if and only if 2a, 2b. a converges by the Comparison Test. (b) If an < b for all n, what can you say about an? Why? b. Ο Σan converges if and only if an n 4 a converges by the Comparison Test. a diverges by the Comparison Test. Ο We cannot say anything about San b O a converges if and only if an n
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