«Σ(;)" 2 (b) (1 + i)k (c) 2i k=12 Σ «Σ(#) (1) Σ (1) * «Σ(1214) k + k + k=1 Find the sum of each of the following convergent series.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Question
d and e
(a)
Σ(;)
k
2
(b) Στ
(1 + i)k
k=
2i
k=12
2k
«Σ(2)
« Σ (1)
«Σ(12-14)
(d)
k +
+
k=1
k
Find the sum of each of the following convergent series.
Transcribed Image Text:(a) Σ(;) k 2 (b) Στ (1 + i)k k= 2i k=12 2k «Σ(2) « Σ (1) «Σ(12-14) (d) k + + k=1 k Find the sum of each of the following convergent series.
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