4) Decide whether the following sequences converge or diverge and why a) {1, 0, 1, 0, 1,....}

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 45E
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4) Decide whether the following sequences converge or diverge and why
a) {1, 0, 1, 0, 1,....}
b)
{1,1+1+1+
c) {an}, where an
1
4
1+
= 1-
1
+
2
(-1)"
22
1 1
4
+
100
8
1+
1
HIN
2
1
1 + ² + 1/ , ---}
4
8
16
Transcribed Image Text:4) Decide whether the following sequences converge or diverge and why a) {1, 0, 1, 0, 1,....} b) {1,1+1+1+ c) {an}, where an 1 4 1+ = 1- 1 + 2 (-1)" 22 1 1 4 + 100 8 1+ 1 HIN 2 1 1 + ² + 1/ , ---} 4 8 16
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