2. Let 4 3z + 1+ (3z + 3z + i + ... z – i be the sum of the first n terms of a geometric sequence. z – i z – i z – i a. Identify the first term and the common rationr. b. Find all the complex numbers (z) in standard and polar forms for which the sum of the first 4 terms S

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Let
3z + i 4
+ ...
3
3z + i
1+
3z +
3z+
z – i
be the sum of the first n terms of a geometric sequence.
z – i
z – i
z – i
a. Identify the first term and the common ration r.
b. Find all the complex numbers (z) in standard and polar forms for which
the sum of the first 4 terms S¼ = 0.
Transcribed Image Text:2. Let 3z + i 4 + ... 3 3z + i 1+ 3z + 3z+ z – i be the sum of the first n terms of a geometric sequence. z – i z – i z – i a. Identify the first term and the common ration r. b. Find all the complex numbers (z) in standard and polar forms for which the sum of the first 4 terms S¼ = 0.
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