>) Find the sum to infinity of the series 3 1² +2²x¹ +3² + x² +4²x³ + ....... inf.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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Question
(a) Prove that
1+(1+\frac{1|5})(\frac{1|2})+(1+\frac{1|5}+\frac{1|5\power{2}})(\frac{1|2\power{2}})+.....=\frac{20|9}
(b) Find the sum to infinity of the series
1\power{2}+2\power{2}x\power{1}+3\power{2}+x\power{2}+4\power{2}x\power{3}+......\inf{}.
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