Geometric Sequences and Series Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the explicit formula. 1) -1, -3, -9, -27, ... 2) 2, 2' 8' 32 Common Ratio: r 4 ... Common Ratio: r = 3 1 a = -2187 Explicit: a,: 8192 =-3"-1 Explicit: a = 2. %3D 3) 148, 1488, 14888, 148888, ... 4) 0.75, 3, 12, 48, ... Not geometric Common Ratio: r = 4 a = 12288

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.3: Geometric Sequences
Problem 102E
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Geometric Sequences and Series
Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the
explicit formula.
1) –1, –3, -9, -27, ..
2) 2,
2' 8' 32
Common Ratio: r =
4
Common Ratio: r = 3
1
a =-2187
az
8192
Explicit: a = -3"-1
%3D
Explicit: a
= 2 .
3) 148, 1488, 14888, 148888, ...
4) 0.75, 3, 12, 48, ...
Not geometric
Common Ratio: r = 4
12288
a =
Explícit: a = 0.75 - 4"-1
Transcribed Image Text:Geometric Sequences and Series Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the explicit formula. 1) –1, –3, -9, -27, .. 2) 2, 2' 8' 32 Common Ratio: r = 4 Common Ratio: r = 3 1 a =-2187 az 8192 Explicit: a = -3"-1 %3D Explicit: a = 2 . 3) 148, 1488, 14888, 148888, ... 4) 0.75, 3, 12, 48, ... Not geometric Common Ratio: r = 4 12288 a = Explícit: a = 0.75 - 4"-1
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