What is the sum of the following infinite series? 1 1 1 1 1 + + + 4 8 16 32 64 A. This is a geometric series with c = 1/4 and r = 1/2. The sumof the seriesis therefore- 40 1 2 B. This is ageometric series with c = 1/4 andr = 1/2. The sumof the seriesis therefore 1- 4 4 C.This is a geometric series with c = 1/4 and r = 1/2. The sumof the seriesis therefore- 1 1- 22 1 4 D. This isa geometric series with c = 1/2 andr = 1/4. The sumof the seriesis therefore 1- + 1- 112 1 1 1 428 - 1|2|3|41|NATL 112 1 22 2 2 Nim = 1 2

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter13: Sequences And Series
Section13.CR: Chapter Review
Problem 6CC
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Question
What is the sum of the following infinite series?
1
1
1 1 1
+
+
+
4
8 16
32 64
A. This is a geometric series with c = 1/4 andr = 1/2. The sumof the seriesis therefore
(1-
1
1
B. This is a geometric series with c = 1/4 andr = 1/2. The sumof the seriesis therefore.
2 2 2
3 3
=
=
1
4 4 1
C.This is a geometric series with c = 1/4 andr = 1/2. The sumof the seriesis therefore
1
2
2 2
1
4
4
D. This isa geometric series with c = 1/2 andr = 1/4. The sumof the seriesis therefore
1-
+
!
1
12
||2
=
=
1
22
1 1
42 8
10
1
2
Transcribed Image Text:What is the sum of the following infinite series? 1 1 1 1 1 + + + 4 8 16 32 64 A. This is a geometric series with c = 1/4 andr = 1/2. The sumof the seriesis therefore (1- 1 1 B. This is a geometric series with c = 1/4 andr = 1/2. The sumof the seriesis therefore. 2 2 2 3 3 = = 1 4 4 1 C.This is a geometric series with c = 1/4 andr = 1/2. The sumof the seriesis therefore 1 2 2 2 1 4 4 D. This isa geometric series with c = 1/2 andr = 1/4. The sumof the seriesis therefore 1- + ! 1 12 ||2 = = 1 22 1 1 42 8 10 1 2
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