The series converges when 0 1. This is true n=1 regardless of the value of the constant k. When r = 1 the series is a p-series. It converges if k < −1 and diverges otherwise. Each of the series below can be compared to a series of the form Σn. For n=1 each series determine the best value of r and decide whether the series converges. ∞ A. Σ (4+n(4)n)-6 n=1 r = 4^(-6) Β.Σ. n=1 r = C. ∞ n=" 36/3 P = 1 r = Ο.Σ n=1 NT 62n 3n +nº n.5 +4 n³ +4 4n² +6n +4-5n 6 Gn+10 +3n +4√n converges or diverges (c or d)? c converges or diverges (c or d)? d converges or diverges (c or d)? c 5 converges or diverges (c or d)? c

The series converges when 0 1. This is true n=1 regardless of the value of the constant k. When r = 1 the series is a p-series. It converges if k < −1 and diverges otherwise. Each of the series below can be compared to a series of the form Σn. For n=1 each series determine the best value of r and decide whether the series converges. ∞ A. Σ (4+n(4)n)-6 n=1 r = 4^(-6) Β.Σ. n=1 r = C. ∞ n=" 36/3 P = 1 r = Ο.Σ n=1 NT 62n 3n +nº n.5 +4 n³ +4 4n² +6n +4-5n 6 Gn+10 +3n +4√n converges or diverges (c or d)? c converges or diverges (c or d)? d converges or diverges (c or d)? c 5 converges or diverges (c or d)? c

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.1: Sequences And Series

Problem 9ECP: For the series i=1510i find (a) the fourth partial sum and (b) the sum. Notice in Example 9(b) that...

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