2. Find the formula of the general n th term .(i) (1,3,5,7..)(1 2 3 4(ii)2341 1(iii)163. Which of the following sequences are bounded:(i) ()(ii) (n+)(iii) (1- )(iv) ()4. Use the definition of the limit of a sequence to show that:2n -1(i) lim(ii) lim(vn+2-Vn+1) 03n +1(iii) lim32n +5(iv) limn +1

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2. Find the formula of the general rn th term . (i) (1,3,5,7...) (1 2 3 4 (ii) 315 23 4'5' 11 (iii) 16

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 33E

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Question

2. Find the formula of the general n th term .
(i) (1,3,5,7..)
(1 2 3 4
(ii)
234
1 1
(iii)
16
3. Which of the following sequences are bounded:
(i) ()
(ii) (n+)
(iii) (1- )
(iv) ()
4. Use the definition of the limit of a sequence to show that:
2n -1
(i) lim
(ii) lim(vn+2-Vn+1) 0
3n +1
(iii) lim
3
2n +5
(iv) lim
n +1

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