Suppose a, and b, are series with positive terms and O, is known to be convergent. (a) If a, > bn for all n, what can you say about > an? Why? 2 an converges if and only if an < 2bn. a, converges if and only if an< 4bn. O We cannot say anything about > an. an converges by the Comparison Test. > an diverges by the Comparison Test. (b) If a, < bn for all n, what can you say aboutE an? Why? O) an converges if and only if < a, s bn. 4 O) an converges if and only if. < an s bn. O We cannot say anything about ) an. O> an converges by the Comparison Test. O) an diverges by the Comparison Test. Need Help? Read It MM
Suppose a, and b, are series with positive terms and O, is known to be convergent. (a) If a, > bn for all n, what can you say about > an? Why? 2 an converges if and only if an < 2bn. a, converges if and only if an< 4bn. O We cannot say anything about > an. an converges by the Comparison Test. > an diverges by the Comparison Test. (b) If a, < bn for all n, what can you say aboutE an? Why? O) an converges if and only if < a, s bn. 4 O) an converges if and only if. < an s bn. O We cannot say anything about ) an. O> an converges by the Comparison Test. O) an diverges by the Comparison Test. Need Help? Read It MM
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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