Show that the given sequence is geometric. Then, find the common ratio and write out the first four terms. - 1 {"n} = %3D Show that the sequence is geometric by showing that the ratio of successive terms is a nonzero constant. 4n-1 8 Cn-1 (Type an exact answer in simplified form. Use integers or fractions for any numbers in the expression.) What is the value of the common ratio? | (Type an integer or a simplified fraction.) What is the value of the first term? |(Type an integer or a simplified fraction.) What is the value of the second term? | (Type an integer or a simplified fraction.) What is the value of the third term? | (Type an integer or a simplified fraction.) What is the value of the fourth term? |(Type an integer or a simplified fraction.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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Show that the given sequence is geometric. Then, find the common ratio and write out the first four terms.
n-1
4'
{Cn} =
Show that the sequence is geometric by showing that the ratio of successive terms is a nonzero constant.
n- 1
4
8
Cn- 1
%3D
%3D
(Type an exact answer in simplified form. Use integers or fractions for any numbers in the expression.)
What is the value of the common ratio?
(Type an integer or a simplified fraction.)
What is the value of the first term?
(Type an integer or a simplified fraction.)
What is the value of the second term?
(Type an integer or a simplified fraction.)
What is the value of the third term?
(Type an integer or a simplified fraction.)
What is the value of the fourth term?
(Type an integer or a simplified fraction.)
Transcribed Image Text:Show that the given sequence is geometric. Then, find the common ratio and write out the first four terms. n-1 4' {Cn} = Show that the sequence is geometric by showing that the ratio of successive terms is a nonzero constant. n- 1 4 8 Cn- 1 %3D %3D (Type an exact answer in simplified form. Use integers or fractions for any numbers in the expression.) What is the value of the common ratio? (Type an integer or a simplified fraction.) What is the value of the first term? (Type an integer or a simplified fraction.) What is the value of the second term? (Type an integer or a simplified fraction.) What is the value of the third term? (Type an integer or a simplified fraction.) What is the value of the fourth term? (Type an integer or a simplified fraction.)
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