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." 6 2+ 2k k=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."
6
2+ 2k
k=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." 6 2+ 2k k=1
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