2. Find the formula of the general n th term . (i) (1,3,5,7,.) (1 2 3 4 (ii) 2 3 45" 11 (iii) 48 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 72E
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2. Find the formula of the general n th term
(i) (1,3,5,7..)
(1 2 3 4
(ii)
2 3 4'5
11
(iii)
16
3. Which of the following sequences are bounded:
(i) (4)
(ii) (n+)
(iii) (1- )
(iv) ()
n+.
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
3
(iii) lim
2n +5
(iv) lim
n +1
Transcribed Image Text:2. Find the formula of the general n th term (i) (1,3,5,7..) (1 2 3 4 (ii) 2 3 4'5 11 (iii) 16 3. Which of the following sequences are bounded: (i) (4) (ii) (n+) (iii) (1- ) (iv) () n+. 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 3 (iii) lim 2n +5 (iv) lim n +1
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