NOTE: Write your answer in the form of a reduced improper fraction, if necessary. 1 4 ( a) Σ k2-1 10k-1 k=2 (b) 7*3*+1 _ 7-k3k+1_2k+27 5k k=1

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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Question
Express the repeating decalaa
If uk and Uk are convergent scries, then (ux + Vk) and
2(uk - Vk) are convergent series and the sums of these series are
related by
00
00
Uk + V*
k=1
k=1
k=1
00
k=1
k=1
k=1
Use the above theorem to find the sum of each series.
ΝΟΤΕ:
Write your answer in the form of a reduced improper fraction, if necessary.
1
4
(a)
1
10k-1
k=2
(b) ET
2k+21
7-k3k+1
5k
k=1
II
Transcribed Image Text:If uk and Uk are convergent scries, then (ux + Vk) and 2(uk - Vk) are convergent series and the sums of these series are related by 00 00 Uk + V* k=1 k=1 k=1 00 k=1 k=1 k=1 Use the above theorem to find the sum of each series. ΝΟΤΕ: Write your answer in the form of a reduced improper fraction, if necessary. 1 4 (a) 1 10k-1 k=2 (b) ET 2k+21 7-k3k+1 5k k=1 II
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