(a) Show that the following identity is true112n +1n?(n+1)²n2(n + 1)2(b) Use the identity in part (a) to find the formula for the nth partial sum of the series2n +1п? (п + 1)2n=1(c) Use the formula for the nth partial sum obtained in part (b) to determine the convergence or divergence of the series2n +1n²(n+ 1)2n=1

(a) Show that the following identity is true 1 1 2n +1 n2 (n+ 1)² n²(n + 1)² (b) Use the identity in part (a) to find the formula for the nth partial sum of the series 2n +1 n²(n + 1)² n=1 (c) Use the formula for the nth partial sum obtained in part (b) to determine the convergence or divergence of the series 00 Σ n²(n + 1)² ` 2n +1 n=1

(a) Show that the following identity is true 1 1 2n +1 n2 (n+ 1)² n²(n + 1)² (b) Use the identity in part (a) to find the formula for the nth partial sum of the series 2n +1 n²(n + 1)² n=1 (c) Use the formula for the nth partial sum obtained in part (b) to determine the convergence or divergence of the series 00 Σ n²(n + 1)² ` 2n +1 n=1

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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