A geometric sequence is a sequence of numbers where each successive number is the product of the previous number and some constant r, i.e. an+1 = ran The constant factor r is called the common ratio. For example, the following is a geometric sequence: 1 2 1 6' 1 54, 162}. Thus, the common ratio r = 1854 162 as a fraction with no space. A geometric series is the sum of the terms of a geometric sequence. Thus, - ㅎㅎ 1 + - 18 + 54 162 Σ ar². Here, a = n=0 Please fill in your answer Please fill in your answer as a fraction with no space. Find Σ n=0 pn Please fill in your answer as a fraction with no space. n=0 arn = a n=0 Therefore, - +18 - + - = 162 Σ your answer as a fraction with no space. . Please fill in
A geometric sequence is a sequence of numbers where each successive number is the product of the previous number and some constant r, i.e. an+1 = ran The constant factor r is called the common ratio. For example, the following is a geometric sequence: 1 2 1 6' 1 54, 162}. Thus, the common ratio r = 1854 162 as a fraction with no space. A geometric series is the sum of the terms of a geometric sequence. Thus, - ㅎㅎ 1 + - 18 + 54 162 Σ ar². Here, a = n=0 Please fill in your answer Please fill in your answer as a fraction with no space. Find Σ n=0 pn Please fill in your answer as a fraction with no space. n=0 arn = a n=0 Therefore, - +18 - + - = 162 Σ your answer as a fraction with no space. . Please fill in
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A geometric sequence is a sequence of numbers where each successive number is the product of the
previous number and some constant r, i.e. an+1 = ran
The constant factor r is called the common ratio. For example, the following is a geometric sequence:
1
2
1
6'
1
54, 162}. Thus, the common ratio r =
1854 162
as a fraction with no space.
A geometric series is the sum of the terms of a geometric sequence. Thus,
-
ㅎㅎ
1
+
-
18
+
54
162
Σ ar². Here, a =
n=0
Please fill in your answer
Please fill in your answer as
a fraction with no space.
Find Σ
n=0
pn
Please fill in your answer as a fraction with no space.
n=0
arn = a
n=0
Therefore, - +18
-
+
-
=
162
Σ
your answer as a fraction with no space.
. Please fill in
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