converge, and which diverge? Give reasons for your answers. (When you check an answer, remem- ber that there may be more than one way to determine the series' con- Which of the series in Exercises vergence or divergence.) п 14. Уе" 15. У n + 1 13. 10" n=1 n=1 3 -2 18. S n=1nVn 16. 17. п +1 Vn n=1 n=1 -8- 20. 2n In n 19. 21. 8" п n=1 п n=2 n=1 In n 2" 5" 24. E 22. 23. Vn 3" n=1 4" + 3 n=2 n=1 -2 2" 27. 2 1 25. E n + 1 26. E 2n n=1 п+1 n=1 n=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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Question
converge, and which diverge?
Give reasons for your answers. (When you check an answer, remem-
ber that there may be more than one way to determine the series' con-
Which of the series in Exercises
vergence or divergence.)
п
14. Уе"
15. У
n + 1
13.
10"
n=1
n=1
3
-2
18. S
n=1nVn
16.
17.
п +1
Vn
n=1
n=1
-8-
20. 2n
In n
19.
21.
8"
п
n=1
п
n=2
n=1
In n
2"
5"
24. E
22.
23.
Vn
3"
n=1
4" + 3
n=2
n=1
-2
2"
27. 2
1
25. E
n + 1
26. E
2n
n=1
п+1
n=1
n=0
Transcribed Image Text:converge, and which diverge? Give reasons for your answers. (When you check an answer, remem- ber that there may be more than one way to determine the series' con- Which of the series in Exercises vergence or divergence.) п 14. Уе" 15. У n + 1 13. 10" n=1 n=1 3 -2 18. S n=1nVn 16. 17. п +1 Vn n=1 n=1 -8- 20. 2n In n 19. 21. 8" п n=1 п n=2 n=1 In n 2" 5" 24. E 22. 23. Vn 3" n=1 4" + 3 n=2 n=1 -2 2" 27. 2 1 25. E n + 1 26. E 2n n=1 п+1 n=1 n=0
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