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1-п a, 1) n'

1-п a, 1) n'

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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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
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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