Let a, a2, a, be a geometric sequence with initial term a and common ratio r. Show that a, a, a?,... Is also a geom Given that the ratio for a, a, 3, is r, then an- ar-1, n= 1, 2, 3, .. an TO Therefore, the sequence a?, az, az,... is a geometric sequence with common ratio

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 5T: The second term of a geometric sequence is 14, and the sixth term is 224. Find the nth term. (Assume...
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Let a, a2, a3, be a geometric sequence with initial term a and common ratio r. Show that a
is also a geome
....
Given that the ratio for a, a2, a3,... is r, then
an =
ayn -1, n= 1, 2, 3,...
an
= (a;)(
Therefore, the sequence a,?, a?, az?,
is a geometric sequence with common ratio
....
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Read It
Transcribed Image Text:Let a, a2, a3, be a geometric sequence with initial term a and common ratio r. Show that a is also a geome .... Given that the ratio for a, a2, a3,... is r, then an = ayn -1, n= 1, 2, 3,... an = (a;)( Therefore, the sequence a,?, a?, az?, is a geometric sequence with common ratio .... Need Help? Read It
The first term of a geometric sequence is 16, and the fourth term is
(a) Find the common ratio r.
r = 1/4
Find the fifth term.
a5 = 1/16
%3D
(b) Find the partial sum of the first eight terms.
Sg = 21.33
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Transcribed Image Text:The first term of a geometric sequence is 16, and the fourth term is (a) Find the common ratio r. r = 1/4 Find the fifth term. a5 = 1/16 %3D (b) Find the partial sum of the first eight terms. Sg = 21.33 Need Help? Read It
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