Let {a} be a sequence with positive terms. Suppose that the series an converges to 3. n=1 Which of the following statements are TRUE? Select ALL correct answers. A. The series M88 M88 OB. The series Oc. The sequence OD. The series (-1)"an diverges because it approaches ±3. (-1)" an, converges. {a} converges to 3. an MUST be a geometric series. n=1 DE. The sequence {a} converges to 0. 4

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 {an} be a sequence with positive terms.
Suppose that the series
∞
n=1
Which of the following statements are TRUE?
Select ALL correct answers.
A. The series
OB. The series (-1)"an converges.
n=1
Oc. The sequence {an} converges to 3.
n=1
OD. The series an MUST be a geometric series.
n=1
8
8
an converges to 3.
(-1)" an diverges because it approaches ±3.
n=1
O E. The sequence {an} converges to 0.
n=1
27
Transcribed Image Text:Let {an} be a sequence with positive terms. Suppose that the series ∞ n=1 Which of the following statements are TRUE? Select ALL correct answers. A. The series OB. The series (-1)"an converges. n=1 Oc. The sequence {an} converges to 3. n=1 OD. The series an MUST be a geometric series. n=1 8 8 an converges to 3. (-1)" an diverges because it approaches ±3. n=1 O E. The sequence {an} converges to 0. n=1 27
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