Supposea, and b, are series with positive terms and b.is known to be convergent.(a) If a, > b, for all n, what can you say about a.? Why?inconverges if and only if a, < 2b,:a converges by the Comparison Test.adiverges by the Comparison Test.a converges if and only if a,< 4b,O We cannot say anything about a,(b) If a, < b, for all n, what can you say about a ? Why?>'a, diverges by the Comparison Test.a, converges if and only ifh < a4converges by the Comparison Test.aa, converges if and only if2O we cannot say anything about a,

Given query is to find select correct option regarding an and bn.

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Suppose a, and b are series with positive terms and b. is known to be convergent. in (a) If a, > b, for all n, what can you say about a,? Why? Sa, converges if and only if a, < 2b,. converges by the Comparison Test. 'a diverges by the Comparison Test. >a, converges if and only if a, < 4b,. in We cannot say anything about a, (b) If a, < b, for all n, what can you say about a ? Why? in Sa, diverges by the Comparison Test. in S'a, converges if and only if n < a, s b.. in in 4 > a, converges by the Comparison Test. b. a converges if and only if n< a, < b,: in in O We cannot say anything about `a

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 25RE: Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series...

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