Let an and Σ n=1 n=1 Do NOT assume the series are positive (they may or may not be positive). Which of the following series MUST also be convergent? Select all the correct answers. n=1 n=1 a2n (a2n-1 + a2n) bn be two CONVERGENT series.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Let Σ
n=1
0
0
0
Do NOT assume the series are positive (they may or may not be positive).
Which of the following series MUST also be convergent?
Select all the correct answers.
0
I-
a2n
IM8 IM8 IM8 IM8 IM8
n=1
n=1
an and
n=1
n=1
(a2n-1 + a2n)
(an-bn)
∞
(a2n-1 + b2n)
32/22
n=1
an
n²
bn be two CONVERGENT series.
Transcribed Image Text:Let Σ n=1 0 0 0 Do NOT assume the series are positive (they may or may not be positive). Which of the following series MUST also be convergent? Select all the correct answers. 0 I- a2n IM8 IM8 IM8 IM8 IM8 n=1 n=1 an and n=1 n=1 (a2n-1 + a2n) (an-bn) ∞ (a2n-1 + b2n) 32/22 n=1 an n² bn be two CONVERGENT series.
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