Question 6: Consider the following statement: let (a,)n21 be a convergent real sequence satisfying a, >0 for all n 2 1. Then (bn)n21 converges, where a1 +..+ an b Is the statement true? If so give a proof, if not provide a counterexample.
Question 6: Consider the following statement: let (a,)n21 be a convergent real sequence satisfying a, >0 for all n 2 1. Then (bn)n21 converges, where a1 +..+ an b Is the statement true? If so give a proof, if not provide a counterexample.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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