Do the following series converge or diverge? Find the sum of any convergent series. For (a) and (b), you can assume the suggested pattern continues. 1 1 + - -- +... 4 1 (a) 1– 2 (b) 1.1 + 1.1² + 1.1³ + 1.14 +... (c) Σ0.4") n=3 –1)" 32n+2 (d)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 43E
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Question 1 Do the following series converge or diverge? Find the sum of any convergent series. For (a) and (b),
you can assume the suggested pattern continues.
1
(а) 1
1
+
8.
4
3
(b) 1.1 +1.1² + 1.1³ + 1.14 +...
(c) 5(0.4")
n=3
(-1)"
(d) )
32п+2
n=1
Transcribed Image Text:Question 1 Do the following series converge or diverge? Find the sum of any convergent series. For (a) and (b), you can assume the suggested pattern continues. 1 (а) 1 1 + 8. 4 3 (b) 1.1 +1.1² + 1.1³ + 1.14 +... (c) 5(0.4") n=3 (-1)" (d) ) 32п+2 n=1
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