In Exercises 26-30, express the sum in closed forrn. n-1 26. (a) 2 (4k - 3) (b) k?. | k 1 k 1 3k 27. 28. > k 1
In Exercises 26-30, express the sum in closed forrn. n-1 26. (a) 2 (4k - 3) (b) k?. | k 1 k 1 3k 27. 28. > k 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
#29 please
![100
100
18. k.
19. E k.
k=3
k= 1
20
100
20. 2 (7k + 1).
k = 1
21. Σ2
k 1
20
6.
22. Σ
23. (4k3 – 2k + 1).
k=4
k = 1
6.
30
do not
24. E (k - k°).
25.) k(k - 2)(k + 2).
k = 1
k=1
In Exercises 26-30, express the sum in closed forrn.
n-1
26. (a) 2 (4 k – 3)
(b) k?.
k=1
k=1
2
3k
27. E
28.
k=1
ban en
30.
n-1
2k
29
in
k=1
k=1
- 1
In Exercises 31-35, the limit of a function of n is given.
4)h.h Express the function of n in closed form, then find the
limit. [Note: Although n assumes only integer values, the
limits can be calculated using the same techniques that we
have been using for functions of a real-valued variable x.
Functions of integer-valued variables will be studied in more
detail later.]
1+2+3+ +n
lim
31.
n°
n→+ o
1/5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b93d34b-82a9-4eb7-ba39-9c196a496b94%2F7b55e043-d3e4-4da5-b414-a68ba0d4e9a8%2Fxtov188_processed.jpeg&w=3840&q=75)
Transcribed Image Text:100
100
18. k.
19. E k.
k=3
k= 1
20
100
20. 2 (7k + 1).
k = 1
21. Σ2
k 1
20
6.
22. Σ
23. (4k3 – 2k + 1).
k=4
k = 1
6.
30
do not
24. E (k - k°).
25.) k(k - 2)(k + 2).
k = 1
k=1
In Exercises 26-30, express the sum in closed forrn.
n-1
26. (a) 2 (4 k – 3)
(b) k?.
k=1
k=1
2
3k
27. E
28.
k=1
ban en
30.
n-1
2k
29
in
k=1
k=1
- 1
In Exercises 31-35, the limit of a function of n is given.
4)h.h Express the function of n in closed form, then find the
limit. [Note: Although n assumes only integer values, the
limits can be calculated using the same techniques that we
have been using for functions of a real-valued variable x.
Functions of integer-valued variables will be studied in more
detail later.]
1+2+3+ +n
lim
31.
n°
n→+ o
1/5
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