The infinite series inf∑k=1 ak has nth partial sum Sn=n/(3n+1) for n>=1. What is the sum of the series inf∑k=1 ak?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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The infinite series infk=1 ak has nth partial sum Sn=n/(3n+1) for n>=1. What is the sum of the series infk=1 ak?

The infinite series a has nth partial sum S,
for n 2 1. What is the sum of the series Ea ?
Зп + 1
k=1
k=1
(A) 을
(B) 을
(C) 1
(D)
(E) The series diverges.
Transcribed Image Text:The infinite series a has nth partial sum S, for n 2 1. What is the sum of the series Ea ? Зп + 1 k=1 k=1 (A) 을 (B) 을 (C) 1 (D) (E) The series diverges.
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