4. Determine whether the following statements are true and give an explanation or counterexample. -k a) Ex=1 (²) is a convergent geometric series. b) If a is a real number and 12 a ak converges, then Σ-1 ak converges. 00 c) If the series -₁ ak converges and |a| < |b|, then the series Σ₁bk converges. 00
4. Determine whether the following statements are true and give an explanation or counterexample. -k a) Ex=1 (²) is a convergent geometric series. b) If a is a real number and 12 a ak converges, then Σ-1 ak converges. 00 c) If the series -₁ ak converges and |a| < |b|, then the series Σ₁bk converges. 00
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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