Suppose a and b, are series with positive terms and b, is known to be divergent. (a) If a, > b, for all n, what can you say about a ? Why? an O a, converges if and only if n·a, 2 b, OSa, converges if and only if 2a, 2 b,. >a, converges by the Comparison Test. We cannot say anything about a, Oa, diverges by the Comparison Test. "e (b) If a, < b, for all n, what can you say about a ? Why? u. O a, converges if and only if a, s 4 OSa, converges if and only if a, O We cannot say anything about a, O a, diverges by the Comparison Test. O a, converges by the Comparison Test.

Suppose a and b, are series with positive terms and b, is known to be divergent. (a) If a, > b, for all n, what can you say about a ? Why? an O a, converges if and only if n·a, 2 b, OSa, converges if and only if 2a, 2 b,. >a, converges by the Comparison Test. We cannot say anything about a, Oa, diverges by the Comparison Test. "e (b) If a, < b, for all n, what can you say about a ? Why? u. O a, converges if and only if a, s 4 OSa, converges if and only if a, O We cannot say anything about a, O a, diverges by the Comparison Test. O a, converges by the Comparison Test.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section: Chapter Questions

Problem 23RE: Use the formula for the sum of the first ii terms of an arithmetic series to find the sum of the...

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