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Algebra & Trigonometry with Analytic Geometry

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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Let {a,} be a decreasing sequence with a,
O such that lim a, = 0. Choose all the correct statements:
r00
Σ
The series
Ar converges.
r=1
The series > (-1)"*'a, converges.
r+1
r=1
The series > a, diverges.
r=1
The series > (-1)**'a, diverges.
r+1
r=1
We can't say if >,
ar converges.
r=1
r+1
We can't say if) (-1)"†'ar converges.
r=1

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