In Exercises 1–6, find a formula for the nth partial sum of each series and use it to find the series’ sum if the series converges. 2 1. 2 + 3 27 3n-1 9. 2. 100 100" 1002 1003 1 3. 1 + ... + (-1)"-1. 2n-1 4 4. 1 - 2 + 4 - 8 + · . . + (-1)"-1 2"-1 + ... 1 5. 2.3 + 2) (п + 1)(п + 2) 3.4 4.5 5 6. 1:2 5 2:3 3.4 п(n + 1)
In Exercises 1–6, find a formula for the nth partial sum of each series and use it to find the series’ sum if the series converges. 2 1. 2 + 3 27 3n-1 9. 2. 100 100" 1002 1003 1 3. 1 + ... + (-1)"-1. 2n-1 4 4. 1 - 2 + 4 - 8 + · . . + (-1)"-1 2"-1 + ... 1 5. 2.3 + 2) (п + 1)(п + 2) 3.4 4.5 5 6. 1:2 5 2:3 3.4 п(n + 1)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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Transcribed Image Text:In Exercises 1–6, find a formula for the nth partial sum of each series
and use it to find the series’ sum if the series converges.
2
1. 2 +
3
27
3n-1
9.
2.
100
100"
1002
1003
1
3. 1
+ ... + (-1)"-1.
2n-1
4
4. 1 - 2 + 4 - 8 + · . . + (-1)"-1 2"-1 + ...
1
5.
2.3
+ 2)
(п + 1)(п + 2)
3.4
4.5
5
6.
1:2
5
2:3
3.4
п(n + 1)
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