For a series S, let 1 S = 1 – 1 1 1 + 49 1 1 + 81 ·+ an + · · · - - - 25 4 8 if n is odd where an = 2(n- (n+1 if n is even (n+1)² Which of the following statements are true? I. S converges because the terms of S alternate and lim,, ɑn = 0. %3D II. S diverges because it is not true that |an+1| < |an| for all n. III. S converges although it is not true that |an+1] < |an] for all n.
For a series S, let 1 S = 1 – 1 1 1 + 49 1 1 + 81 ·+ an + · · · - - - 25 4 8 if n is odd where an = 2(n- (n+1 if n is even (n+1)² Which of the following statements are true? I. S converges because the terms of S alternate and lim,, ɑn = 0. %3D II. S diverges because it is not true that |an+1| < |an| for all n. III. S converges although it is not true that |an+1] < |an] for all n.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![3. For a series S, let
1
1
1
1
1
S = 1-
1
+...+ an + · ..
81
-+
+
-
-
9.
25
4
49
8.
if n is odd
where an =
2(n–1)/
if n is even
(n+1)²
Which of the following statements are true?
I. S converges because the terms of S alternate and lim,,∞ An = 0.
II. S diverges because it is not true that |an+1|< |an] for all n.
III. S converges although it is not true that |an+1| < |an| for all n.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62cc3b2c-ca5c-4dc2-884f-aa56aeff03f7%2F4b8b59d1-8545-45ca-90c9-dcd8f2f0f562%2Fussjyrq_processed.png&w=3840&q=75)
Transcribed Image Text:3. For a series S, let
1
1
1
1
1
S = 1-
1
+...+ an + · ..
81
-+
+
-
-
9.
25
4
49
8.
if n is odd
where an =
2(n–1)/
if n is even
(n+1)²
Which of the following statements are true?
I. S converges because the terms of S alternate and lim,,∞ An = 0.
II. S diverges because it is not true that |an+1|< |an] for all n.
III. S converges although it is not true that |an+1| < |an| for all n.
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