Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
Related questions
Question
Number 62 please
![60. Alternating Se
alternating series E a, and 2 b, such that 2 a,b, diverges.
61. Think About It Do you agree with the following
statements? Why or why not?
(a) If both Ea, and 2(-a) converge, then 2 la,
converges.
(b) If E a, diverges, then E Ja, diverges.
62.
2 HOW DO YOU SEE IT? The graphs of
the sequences of partial sums of two series are
shown in the figures. Which graph represents the
partial sums of an alternating series? Explain.
(b)
4
3+
2
-1+
4.
6.
-2
-37
4.
6.
Finding Values In Exercises 63 and 64, find the values of p
for which the series converges.
8.
Σ
(-1))
63.
nP
64.
n=1
n+
5 Proof Prove that if E Ja, converges, then E a, converges. Is
the converse true? If not, give an example that shows it in ful](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c6498a8-12ee-487a-ac82-1eaa27ef166d%2Fe2a535eb-3e58-422c-9406-e3c8bf25b0ae%2Fg8wcu3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:60. Alternating Se
alternating series E a, and 2 b, such that 2 a,b, diverges.
61. Think About It Do you agree with the following
statements? Why or why not?
(a) If both Ea, and 2(-a) converge, then 2 la,
converges.
(b) If E a, diverges, then E Ja, diverges.
62.
2 HOW DO YOU SEE IT? The graphs of
the sequences of partial sums of two series are
shown in the figures. Which graph represents the
partial sums of an alternating series? Explain.
(b)
4
3+
2
-1+
4.
6.
-2
-37
4.
6.
Finding Values In Exercises 63 and 64, find the values of p
for which the series converges.
8.
Σ
(-1))
63.
nP
64.
n=1
n+
5 Proof Prove that if E Ja, converges, then E a, converges. Is
the converse true? If not, give an example that shows it in ful
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