2. For the following telescoping series find a formula for the nth term of the sequ evaluate lim S₁ to obtain the value of the series or show that it diverges. 12-00 For each sequence write out the first few terms and the last few terms. 6 a) _E=1 (Partial Fraction Decomposition) (2n-1)(2n+1) bl

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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12. For the following telescoping series find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate limn→∞Sn to obtain the value of the series or show that it diverges.
For each sequence write out the first few terms and the last few terms.

12. For the following telescoping series find a formula for the nth term of the sequence of partial sums {Sn}. Then
evaluate lim S₁ to obtain the value of the series or show that it diverges.
n→∞
For each sequence write out the first few terms and the last few terms.
6
a) Σ=1
(Partial Fraction Decomposition)
(2n-1)(2n+1)
b) Σ=1(# (412)
-
Transcribed Image Text:12. For the following telescoping series find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate lim S₁ to obtain the value of the series or show that it diverges. n→∞ For each sequence write out the first few terms and the last few terms. 6 a) Σ=1 (Partial Fraction Decomposition) (2n-1)(2n+1) b) Σ=1(# (412) -
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