16. fa) Explain the difference between Σα E aj 2 ai and i=1 j=1 (b) Explain the difference between Σα E aj aj and i=1 i=1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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716
CHAPTER 11
Infinite Sequences and Series
00
1
13. 2
1
sin
n + 1
1
14. E( sin
n=1 n + 1
n=1
2n
15. Let an
3n + 1
(a) Determine whether {a,} is convergent.
(b) Determine whether 2n=1 An is convergent.
4.
b
16. (a) Explain the difference between
E ai
2 aj
and
4
i=1
j=1
(b) Explain the difference between
n
4
E ai
and
2 aj
i=1
i=1
17-26 Determine whether the geometric series is convergent or
divergent. If it is convergent, find its sum.
4
17. 3 – 4 + – + ..
18. 4 + 3 ++ +
27
4.
19. 10 - 2 + 0.4
0.08 + ...
20. 2 + 0.5 + 0.125 + 0.03125 + ...
21. 12(0.73)"-1
n=1
(-3)"-1
00
23. E
4"
3n+1
24. E
(-2)"
n-1
n=0
2n
e
25. 2
6"-1
00
6 .
26. 2
2 2n-1
Transcribed Image Text:716 CHAPTER 11 Infinite Sequences and Series 00 1 13. 2 1 sin n + 1 1 14. E( sin n=1 n + 1 n=1 2n 15. Let an 3n + 1 (a) Determine whether {a,} is convergent. (b) Determine whether 2n=1 An is convergent. 4. b 16. (a) Explain the difference between E ai 2 aj and 4 i=1 j=1 (b) Explain the difference between n 4 E ai and 2 aj i=1 i=1 17-26 Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. 4 17. 3 – 4 + – + .. 18. 4 + 3 ++ + 27 4. 19. 10 - 2 + 0.4 0.08 + ... 20. 2 + 0.5 + 0.125 + 0.03125 + ... 21. 12(0.73)"-1 n=1 (-3)"-1 00 23. E 4" 3n+1 24. E (-2)" n-1 n=0 2n e 25. 2 6"-1 00 6 . 26. 2 2 2n-1
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