8) 2,6,10,14,18,. 9) 1,0,1,0,1,.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A A:IV
math III 1-21.pdf
->
Find a formula for the n" term of the following sequences
1) 1,-1,1,-1,1,...
2) - 1,1,–1,1,-1,.
3)
1,-4,9,-16,25,...
11 1 1
1,-
4'9' 16'25 " 5) 0,3,8,15,24,..
4)
6) - 3,-2,-1,0,1,.
7) 1,5,9,13,17,..
8) 2,6,10,14,18,...
9) 1,0,1,0,1,.
Which of the following sequences converge and which diverge?
1)
a, = 2+(0.1)"
Ans. Converges, 2
1-2n
2)
a, =
1+2n
Ans. Converges, -1
1-5n
a, =
n' +8n
3)
Ans. Converges, -5
n - 2n +1
a, =
Ans. Diverges
4)
5) a, =1+(-1)"
Ans. Diverges
Mathematics
Second Year
Dr. Atheer Alaa Sabri
Electrical & Electronic Engineering Department
(n+1
a, =
Ans. Converges,
2
6)
(-1)*
a, =
Ans. Converges, 0
7)
2n -1
| 2n
a, =
Ans. Converges, V2
8)
n+1
9)
a, = sin
Ans. Converges, 1
sin n
10) а, 3
Ans. Converges, 0
11) а, 3
2"
Ans. Converges, 0
In(n+1)
12) a, =
Ans. Converges, 0
13) a, =8
Ans. Converges, 1
14) a,
Ans. Converges, e
15) a, = V10n
Ans. Converges, 1
16) a, =
Ans. Converges, 1
Transcribed Image Text:A A:IV math III 1-21.pdf -> Find a formula for the n" term of the following sequences 1) 1,-1,1,-1,1,... 2) - 1,1,–1,1,-1,. 3) 1,-4,9,-16,25,... 11 1 1 1,- 4'9' 16'25 " 5) 0,3,8,15,24,.. 4) 6) - 3,-2,-1,0,1,. 7) 1,5,9,13,17,.. 8) 2,6,10,14,18,... 9) 1,0,1,0,1,. Which of the following sequences converge and which diverge? 1) a, = 2+(0.1)" Ans. Converges, 2 1-2n 2) a, = 1+2n Ans. Converges, -1 1-5n a, = n' +8n 3) Ans. Converges, -5 n - 2n +1 a, = Ans. Diverges 4) 5) a, =1+(-1)" Ans. Diverges Mathematics Second Year Dr. Atheer Alaa Sabri Electrical & Electronic Engineering Department (n+1 a, = Ans. Converges, 2 6) (-1)* a, = Ans. Converges, 0 7) 2n -1 | 2n a, = Ans. Converges, V2 8) n+1 9) a, = sin Ans. Converges, 1 sin n 10) а, 3 Ans. Converges, 0 11) а, 3 2" Ans. Converges, 0 In(n+1) 12) a, = Ans. Converges, 0 13) a, =8 Ans. Converges, 1 14) a, Ans. Converges, e 15) a, = V10n Ans. Converges, 1 16) a, = Ans. Converges, 1
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