8. State the alternating series test. As well, suppose the sequence {ak}=o is decreasing and ak > 0 k=0 for all k, then prove the partial sums of odd index of >(-1)*ar is bounded above. k=0

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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8. State the alternating series test. As well, suppose the sequence {ak}, is decreasing and ak > 0
for all k, then prove the partial sums of odd index of >(-1)*ak is bounded above.
k=0
Transcribed Image Text:8. State the alternating series test. As well, suppose the sequence {ak}, is decreasing and ak > 0 for all k, then prove the partial sums of odd index of >(-1)*ak is bounded above. k=0
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