For the following telescoping series, find a formula for the nth term of the sequence of partial sums (S). Then evaluate lim S, to obtain the value of the series or state that the series diverges. n-oo Σ k=0 1 (3k + 7)(3k + 10) A formula for the nth term of the sequence of partial sums is S₂ =

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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For the following telescoping series, find a formula for the nth term of the sequence of partial sums {S}. Then evaluate lim S, to obtain the value of the series or state that the series diverges.
n→∞o
Σ
k=0
1
(3k + 7)(3k + 10)
A formula for the nth term of the sequence of partial sums is S₁ =
C
Transcribed Image Text:For the following telescoping series, find a formula for the nth term of the sequence of partial sums {S}. Then evaluate lim S, to obtain the value of the series or state that the series diverges. n→∞o Σ k=0 1 (3k + 7)(3k + 10) A formula for the nth term of the sequence of partial sums is S₁ = C
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