Suppose a, and b, are series with positive terms and O, is known to be convergent. (a) If a, > bn for all n, what can you say about > an? Why? 2 an converges if and only if an < 2bn. a, converges if and only if an< 4bn. O We cannot say anything about > an. an converges by the Comparison Test. > an diverges by the Comparison Test. (b) If a, < bn for all n, what can you say aboutE an? Why? O) an converges if and only if < a, s bn. 4 O) an converges if and only if. < an s bn. O We cannot say anything about ) an. O> an converges by the Comparison Test. O) an diverges by the Comparison Test. Need Help? Read It MM

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 13PT: Use the formula for the sum of the first n terms of a geometric series to find k=170.2(5)k1 .
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Suppose a, and b, are series with positive terms and O, is known to be convergent.
(a) If a, > bn for all n, what can you say about > an? Why?
2 an converges if and only if an < 2bn.
a, converges if and only if an< 4bn.
O We cannot say anything about > an.
an converges by the Comparison Test.
> an diverges by the Comparison Test.
(b) If a, < bn for all n, what can you say aboutE an? Why?
O) an converges if and only if
< a, s bn.
4
O) an converges if and only if.
< an s bn.
O We cannot say anything about ) an.
O> an converges by the Comparison Test.
O) an diverges by the Comparison Test.
Need Help?
Read It
MM
Transcribed Image Text:Suppose a, and b, are series with positive terms and O, is known to be convergent. (a) If a, > bn for all n, what can you say about > an? Why? 2 an converges if and only if an < 2bn. a, converges if and only if an< 4bn. O We cannot say anything about > an. an converges by the Comparison Test. > an diverges by the Comparison Test. (b) If a, < bn for all n, what can you say aboutE an? Why? O) an converges if and only if < a, s bn. 4 O) an converges if and only if. < an s bn. O We cannot say anything about ) an. O> an converges by the Comparison Test. O) an diverges by the Comparison Test. Need Help? Read It MM
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