Which of the following are geometric series? 8 M8 M8 Μ n=0 n=0 Σ 3″ 4" 29⁰ +|12/2/2 Σ (4π)-" n=0

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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Which of the following are geometric series?
IM² M³ M³ ÌM
n=0
h=
Σ
n=0
3η
4"
29⁰
+ |3
4
Σ (4π)
n=0
Transcribed Image Text:Which of the following are geometric series? IM² M³ M³ ÌM n=0 h= Σ n=0 3η 4" 29⁰ + |3 4 Σ (4π) n=0
Consider the series.
∞
This can be written as a geometric series in the form Σ cr". Identify c and r in the geometric series.
n=0
(Give an exact answer. Use symbolic notation and fractions where needed.)
C =
14 14 14 14
+ + + +
3 3² 33 34
r =
Calculate the sum of the series.
(Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the series does not converge.)
14 14
+ +
3² 33
14
34
+
Transcribed Image Text:Consider the series. ∞ This can be written as a geometric series in the form Σ cr". Identify c and r in the geometric series. n=0 (Give an exact answer. Use symbolic notation and fractions where needed.) C = 14 14 14 14 + + + + 3 3² 33 34 r = Calculate the sum of the series. (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the series does not converge.) 14 14 + + 3² 33 14 34 +
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