CO Start with the geometric series Σχ. m=0 (a) Find the sum of the series Σ - = 1 (b) Find the sum of each of the following series. (1) Σ' πχ, |x| < 1 00 --- (ii) Π πχ -1, |x| < 1.
CO Start with the geometric series Σχ. m=0 (a) Find the sum of the series Σ - = 1 (b) Find the sum of each of the following series. (1) Σ' πχ, |x| < 1 00 --- (ii) Π πχ -1, |x| < 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
Related questions
Question
Start with the geometric series
xn.
∞ | |
n = 0 |
(a)
Find the sum of the series
nxn − 1, |x| < 1.
∞ | |
n = 1 |
(b)
Find the sum of each of the following series.
(i)
∞ | |
n = 1 |
(ii)
∞ |
|
||
n = 1 |
(c)
Find the sum of each of the following series.
(i)
∞ | |
n = 2 |
(ii)
∞ |
|
||
n = 2 |
(iii)
∞ |
|
||
n = 1 |
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