1. Complete the following table for the given geometric sequences: 1st Common Number of Geometric Sequence Term Ration Terms 3 10 a. b. C. d. e. 3, 6, 12, 1536 5, 15, 45,..., to 1.28, 0.64, ts ... 5 144 3 1 1 12 12 6 8 7 nth Term 1536 135 General Term to = (0.02)(4)n-1

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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1. Complete the following table for the given geometric sequences:
Geometric
1st
Number of
Common
Ration
Sequence
Term
Terms
3
10
3, 6, 12,
1536
b. 5, 15, 45,15 tn
a.
C.
d.
1.28, 0.64,
ts
5
144
3
1
1
12 12
6
8
7
nth
Term
1536
135
General
Term
=
to
(0.02)(4)n-1
Transcribed Image Text:1. Complete the following table for the given geometric sequences: Geometric 1st Number of Common Ration Sequence Term Terms 3 10 3, 6, 12, 1536 b. 5, 15, 45,15 tn a. C. d. 1.28, 0.64, ts 5 144 3 1 1 12 12 6 8 7 nth Term 1536 135 General Term = to (0.02)(4)n-1
2. For the geometric sequence whose fifth term is 5 and whose tenth term is
5
32
5
32, determine the first term, the common ratio, the general term, t2 and t3.
Transcribed Image Text:2. For the geometric sequence whose fifth term is 5 and whose tenth term is 5 32 5 32, determine the first term, the common ratio, the general term, t2 and t3.
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