Write an explicit rule for the geometric sequence, Then find the indicated term of the sequence. 11. 4, 24, 144, 864, ...; 11th term 12. 6,-12, 24,-48, ...; 12th term 13 STEM
Write an explicit rule for the geometric sequence, Then find the indicated term of the sequence. 11. 4, 24, 144, 864, ...; 11th term 12. 6,-12, 24,-48, ...; 12th term 13 STEM
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter13: Sequences And Series
Section13.3: Geometric Sequences
Problem 48E
Related questions
Question
#12 please
![Check Understanding
Graph t
wnte an explicit rule for the geometric sequence. Then find the indicated term of
the sequence.
14.
1. 4, 20, 100, 500,...; 8th term
2. 6561, 2187, 729, 243, ...; 10th term
15. fir
Graph the sequence.
Part of
3. f(n) = 2.3"- ' for 1 <n<6
4. fin) = 1280(0.25)* for 1 Sn<5
sequen
Part of a geometric sequence is shown on each graph. Write an explicit rule for the
sequence.
17.
5.
4 f(n)
400
6.
2000
(1, 2000)
320
• (6, 320)
1600
240
1200
160
• (5, 160)
800
80
• (4, 80)
(1, 10) (3, 40)
(2, 20)
400-
• (2, 400)
(3, 80) (4, 16)
(5, 3.2)
Write
19.
6.
4
6.
8.
Write a recursive rule for the geometric sequence f(n) = 10(0.3)".
Write
7.
Write an explicit rule for the geometric sequence f(1)= 9, f(n) = f(n – 1) for n2 2.
8.
21.
The heights to which a ball bounces after it is
dropped are shown in the table. The heights form a
geometric sequence. How high does the ball
bounce on the 7th bounce? Round your answer to
9.
22.
Bounce
Height (cm)
23.
1
800
the nearest centimeter.
560
392
On Your Own
10. A geometric sequence is shown in the table.
A. What is the first term of the sequence?
f(n)
B. What is the common ratio r?
400
C. What is an explicit rule for the sequence?
D. What is f(7)?
2
600
900
Write an explicit rule for the geometric sequence. Then find the indicated term of the
4
1350
sequence.
11. 4, 24, 144, 864, ...; 11th term
12. 6,-12, 24,-48, ...; 12th term
13. STEM A chemist records the temperature of a solution every 5 minutes as it cools. The
recorded temperatures form the geometric sequence 75 °C, 60 °C, 48 °C, 38.4 °C, ....
Write an explicit rule for the sequence.
374](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb30b8a89-d88e-46bc-83ee-311bc80499fc%2F2d3ac3d2-5f63-4272-8b1c-ec8c9f230f4b%2Fc6ss4e8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Check Understanding
Graph t
wnte an explicit rule for the geometric sequence. Then find the indicated term of
the sequence.
14.
1. 4, 20, 100, 500,...; 8th term
2. 6561, 2187, 729, 243, ...; 10th term
15. fir
Graph the sequence.
Part of
3. f(n) = 2.3"- ' for 1 <n<6
4. fin) = 1280(0.25)* for 1 Sn<5
sequen
Part of a geometric sequence is shown on each graph. Write an explicit rule for the
sequence.
17.
5.
4 f(n)
400
6.
2000
(1, 2000)
320
• (6, 320)
1600
240
1200
160
• (5, 160)
800
80
• (4, 80)
(1, 10) (3, 40)
(2, 20)
400-
• (2, 400)
(3, 80) (4, 16)
(5, 3.2)
Write
19.
6.
4
6.
8.
Write a recursive rule for the geometric sequence f(n) = 10(0.3)".
Write
7.
Write an explicit rule for the geometric sequence f(1)= 9, f(n) = f(n – 1) for n2 2.
8.
21.
The heights to which a ball bounces after it is
dropped are shown in the table. The heights form a
geometric sequence. How high does the ball
bounce on the 7th bounce? Round your answer to
9.
22.
Bounce
Height (cm)
23.
1
800
the nearest centimeter.
560
392
On Your Own
10. A geometric sequence is shown in the table.
A. What is the first term of the sequence?
f(n)
B. What is the common ratio r?
400
C. What is an explicit rule for the sequence?
D. What is f(7)?
2
600
900
Write an explicit rule for the geometric sequence. Then find the indicated term of the
4
1350
sequence.
11. 4, 24, 144, 864, ...; 11th term
12. 6,-12, 24,-48, ...; 12th term
13. STEM A chemist records the temperature of a solution every 5 minutes as it cools. The
recorded temperatures form the geometric sequence 75 °C, 60 °C, 48 °C, 38.4 °C, ....
Write an explicit rule for the sequence.
374
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