Given the series: Σ [In(2(k+ 1)) - In(2k)] k=4 does this series converge or diverge? O diverges O converges If the series converges, find the sum of the series: [In(2(k+ 1))In(2k)] = = k=4 (If the series diverges, just leave this second box blank.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 23RE: Use the formula for the sum of the first ii terms of an arithmetic series to find the sum of the...
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Given the series:
Σ [In(2(k+ 1)) - In (2k)]
k=4
does this series converge or diverge?
O diverges
O converges
If the series converges, find the sum of the series:
[In(2(k+ 1)) - In (2k)]
=
k=4
(If the series diverges, just leave this second box blank.)
Transcribed Image Text:Given the series: Σ [In(2(k+ 1)) - In (2k)] k=4 does this series converge or diverge? O diverges O converges If the series converges, find the sum of the series: [In(2(k+ 1)) - In (2k)] = k=4 (If the series diverges, just leave this second box blank.)
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