Suppose an and Σbn³ are series with positive terms and Σ b is known to be convergent. (a) If a > b for all n, what can you say about Σa? Why? Σa diverges by the Comparison Test. We cannot say anything about an n converges if and only if an ≤2bn an converges if and only if a ≤ 4b n Σ a converges by the Comparison Test. an (b) If an

Suppose an and Σbn³ are series with positive terms and Σ b is known to be convergent. (a) If a > b for all n, what can you say about Σa? Why? Σa diverges by the Comparison Test. We cannot say anything about an n converges if and only if an ≤2bn an converges if and only if a ≤ 4b n Σ a converges by the Comparison Test. an (b) If an

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 67E

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