Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:Mathematics
Second Year
Electrical & Electronic Engineering Department
Dr. Atheer Alaa Sabri
Exercises on Sequences
Find the values of a, a,, a, and a, for the following sequences
1-n
1
a, =
n!
(-1)*1
1)
а,
2)
3)
a =
%3D
2n -1
2"
a, =
2n+1
2" –1
a,
4)
an
= 2+(-1)"
5)
6)
2"
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,...
1 1
1
1
1.-
4'9
5) 0,3,8,15,24,..
6) - 3,-2,-1,0,1,..
4)
16 25
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 =
Ans. Converges, -1
1+2n
1-5n*
3)
a, =
4
Ans. Converges, -5
n* + 8n
n? – 2n +1
4)
a, =
Ans. Diverges
n-1
5)
=1+(-1)"
Ans. Diverges
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