54-69. Telescoping series 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." 4 Σ 8 (4k – 3)(4k + 1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 33E
Question
54-69. Telescoping series 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."
4
Σ
8 (4k – 3)(4k + 1)
Transcribed Image Text:54-69. Telescoping series 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." 4 Σ 8 (4k – 3)(4k + 1)
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