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?converges if and only if a, < 2b,-ina, converges by the Comparison Test.ina, converges if and only if a, < 4b,.indiverges by the Comparison Test.inO We cannot say anything about a,(b) If a, < b, for all n, what can you say about a,? Why?OSa diverges by the Comparison Test.O We cannot say anything about a,converges by the Comparison Test.anb,nsa, s b,:2OSa, converges if and only ifinb,OSa, converges if and only if n

This question is from convergence/divergence.

Suppose Fa, 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? Lan converges if and only if a, < 2b,. Σ Lan a, converges by the Comparison Test. converges if and only if a, < 4b,- diverges by the Comparison Test. a O We cannot say anything about a, (b) If a, < b, for all n, what can you say about a,? Why? Sa, diverges by the Comparison Test. O We cannot say anything about a, Sa, converges by the Comparison Test. >a, converges if and only if san 2 in b, OSa, converges if and only if n sa, in 4

Suppose Fa, 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? Lan converges if and only if a, < 2b,. Σ Lan a, converges by the Comparison Test. converges if and only if a, < 4b,- diverges by the Comparison Test. a O We cannot say anything about a, (b) If a, < b, for all n, what can you say about a,? Why? Sa, diverges by the Comparison Test. O We cannot say anything about a, Sa, converges by the Comparison Test. >a, converges if and only if san 2 in b, OSa, converges if and only if n sa, in 4

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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