- (a) Starting with the geometric series ox", find the sum n=0 of the series Σnxt Σηx |x| < 1 пх n=1 (b) Find the sum of each of the following series. п ( ) Σηx", | x1<1 (ii) E 2" n=1 (c) Find the sum of each of the following series. (i) E n(n – 1)x", |x|< 1 n=2 2² – n (ii) 2 2" (iii) E 2" n=2
- (a) Starting with the geometric series ox", find the sum n=0 of the series Σnxt Σηx |x| < 1 пх n=1 (b) Find the sum of each of the following series. п ( ) Σηx", | x1<1 (ii) E 2" n=1 (c) Find the sum of each of the following series. (i) E n(n – 1)x", |x|< 1 n=2 2² – n (ii) 2 2" (iii) E 2" n=2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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