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(a) Waito the first 5 terms of the sequences with general terms a, below and indicate whether they are convergent or diverger Зп — 5 - (i) an = (ii) an = (2n + 1).3" (iiі) аn — +n (iv) an n +8 2n n (b) Examine the increasing and decreasing of each of the following sequences, whether they are bounded or not. Thus, specify the characters (convergent or divergent) of the sequences. n – 2 1+ 3n - (i) (an) = (ii) (an) = (n2+

(a) Waito the first 5 terms of the sequences with general terms a, below and indicate whether they are convergent or diverger Зп — 5 - (i) an = (ii) an = (2n + 1).3" (iiі) аn — +n (iv) an n +8 2n n (b) Examine the increasing and decreasing of each of the following sequences, whether they are bounded or not. Thus, specify the characters (convergent or divergent) of the sequences. n – 2 1+ 3n - (i) (an) = (ii) (an) = (n2+

Algebra & Trigonometry with Analytic Geometry
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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Please only solve part B Examine the increasing and decreasing of each of the following sequences, whether they are bounded or not. Thus, specify the characters (convergent or divergent) of the sequences.
(a) Wsito the first 5 terms of the sequences with general terms an below and indicate whether they are convergent or diverg Зп — 5 (i) an = (ii) an = (2n + 1).3" (iї) аn 3 +n (iv) an = T+ n +8 2n (b) Examine the increasing and decreasing of each of the following sequences, whether they are bounded or not. Thus, specify the characters (convergent or divergent) of the sequences. -() (i) (an) = (ii) (an) = ( n²+ 1+ 3n
Transcribed Image Text:(a) Wsito the first 5 terms of the sequences with general terms an below and indicate whether they are convergent or diverg Зп — 5 (i) an = (ii) an = (2n + 1).3" (iї) аn 3 +n (iv) an = T+ n +8 2n (b) Examine the increasing and decreasing of each of the following sequences, whether they are bounded or not. Thus, specify the characters (convergent or divergent) of the sequences. -() (i) (an) = (ii) (an) = ( n²+ 1+ 3n
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