3. Mark the following as true or false. If false, explain why. a a. For a geometric series, the sum is for |r|21 1-r b. If the lim Sn 5, Σ α, diverges c. If lim an = 0,2an converges %3D d. if Σan 3, then lim an = 0

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 25RE: Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series...
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For questions (a), (b), (c), and (d) mark true or false and explain why.

3. Mark the following as true or false. If false, explain why.
а
a. For a geometric series, the sum is for Ir|>1
1-r
b. If the lim sn = 5, £ an diverges
n→∞
c. If lim an =
0, 2 an converges
d. If E an = 3, then lim an = 0
Transcribed Image Text:3. Mark the following as true or false. If false, explain why. а a. For a geometric series, the sum is for Ir|>1 1-r b. If the lim sn = 5, £ an diverges n→∞ c. If lim an = 0, 2 an converges d. If E an = 3, then lim an = 0
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