2. Consider 1, 0.1, 0.01, 0.001, 0.0001, ... (a) Write out the next three terms of this sequence. (b) What is the common ration, r? (c) Write an explicit formula for this geometric sequence. (d) Does this sequence converge or diverge? How do you know?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.4: Geometric Sequences And Series
Problem 18E: Find the requested term of each geometric sequence. Find the eighth term of the geometric sequence...
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2. Consider 1, 0.1, 0.01, 0.001, 0.0001, ...
(a) Write out the next three terms of this sequence.
(b) What is the common ration, r?
(c) Write an explicit formula for this geometric sequence.
(d) Does this sequence converge or diverge? How do you know?
Transcribed Image Text:2. Consider 1, 0.1, 0.01, 0.001, 0.0001, ... (a) Write out the next three terms of this sequence. (b) What is the common ration, r? (c) Write an explicit formula for this geometric sequence. (d) Does this sequence converge or diverge? How do you know?
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