Ch.9 Sequences, Series, And Probability Complete Test Bank - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.

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Ch.9 Sequences, Series, And Probability Complete Test Bank

College Algebra, 5e (Young)

Chapter 9 Sequences, Series, and Probability

9.3 Geometric Sequences and Series

1) Find the common ratio of the geometric sequence 6, 12, 24, 48, 96, ...

A) r = -2

B) r = 6

C) r = 2

D) r = -6

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Recognize a geometric sequence.

2) Find the common ratio of the geometric sequence -3, 6, -12, 24, -48, ...

A) r = -9

B) r = -2

C) r = 9

D) r = 2

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Recognize a geometric sequence.

3) Find the common ratio of the geometric sequence (1/5), (1/10), (1/20), (1/40), (1/80), ...

A) r = - (1/2)

B) r = (1/2)

C) r = - (1/5)

D) r = (1/5)

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Recognize a geometric sequence.

4) Write the first four terms of the geometric sequence with (a) with subscript (1) = -5 and r = -2.

A) (a) with subscript (1) = -5, (a) with subscript (2) = 7, (a) with subscript (3) = -9, (a) with subscript (4) = 11

B) (a) with subscript (1) = -5, (a) with subscript (2) = -7, (a) with subscript (3) = -9, (a) with subscript (4) = -11

C) (a) with subscript (1) = 5, (a) with subscript (2) = -10, (a) with subscript (3) = 20, (a) with subscript (4) = -40

D) (a) with subscript (1) = -5, (a) with subscript (2) = 10, (a) with subscript (3) = -20, (a) with subscript (4) = 40

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Find the general, nth term of a geometric sequence.

5) Write the first four terms of the geometric sequence with (a) with subscript (1) = 64 and r = (1/2).

A) (a) with subscript (1) = -64, (a) with subscript (2) = -128, (a) with subscript (3) = -256, (a) with subscript (4) = -512

B) (a) with subscript (1) = 64, (a) with subscript (2) = 128, (a) with subscript (3) = 256, (a) with subscript (4) = 512

C) (a) with subscript (1) = -64, (a) with subscript (2) = -32, (a) with subscript (3) = -16, (a) with subscript (4) = -8

D) (a) with subscript (1) = 64, (a) with subscript (2) = 32, (a) with subscript (3) = 16, (a) with subscript (4) = 8

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Find the general, nth term of a geometric sequence.

6) Write the formula for the (n) with superscript (th) term of the geometric sequence with (a) with subscript (1) = 9 and r = -10.

A) (a) with subscript (n) = -10((9)) with superscript (n-1)

B) (a) with subscript (n) = -10((9)) with superscript (n+1)

C) (a) with subscript (n) = 9((-10)) with superscript (n-1)

D) (a) with subscript (n) = 9((-10)) with superscript (n+1)

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Find the general, nth term of a geometric sequence.

7) Write the formula for the (n) with superscript (th) term of the geometric sequence with (a) with subscript (1) = 10 and r = - (1/4).

A) (a) with subscript (n) = 10(- (1/4)) with superscript (n-1)

B) (a) with subscript (n) = (- (1/4))((10)) with superscript (n-1)

C) (a) with subscript (n) = 10((4)) with superscript (n-1)

D) (a) with subscript (n) = 10((1/4)) with superscript (n-1)

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Find the general, nth term of a geometric sequence.

8) Find the (7) with superscript (th) term of the geometric sequence 6, 30, 150, 750, ...

A) 93,750

B) 468,750

C) 279,936

D) 233,280

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Find the general, nth term of a geometric sequence.

9) Find the (6) with superscript (th) term of the geometric sequence (1/5), - (2/5), (4/5), - (8/5), ...

A) - (32/15,625)

B) (32/5)

C) - (32/5)

D) (32/15,625)

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Find the general, nth term of a geometric sequence.

10) Find the sum of the finite geometric series 1 + 2 + 4 + 8 + ... + 64.

A) 79

B) 127

C) 1

D) 43

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Evaluate a finite geometric series.

11) Find the sum of the finite geometric series sum of ((5/6)((2)) with superscript (i-1)) from (i=1) to (4).

A) 15.0

B) 4.7

C) -0.8

D) 12.5

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Evaluate a finite geometric series.

12) Find the sum of the infinite geometric series sum of (((1/10)) with superscript (n)) from (n=1) to (∞).

A) - (1/9)

B) (1/10)

C) (1/9)

D) (1/11)

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Evaluate an infinite geometric series, if it exists.

13) Find the sum of the infinite geometric series sum of ((-2(1/13)) with superscript (n)) from (n=1) to (∞).

A) (1/7)

B) - (1/7)

C) (1/6)

D) - (1/6)

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Evaluate an infinite geometric series, if it exists.

14) At the time she was hired, Nema's salary was $55,000 per year. If she is given an annual salary increase of 4% per year, what will her salary be after 5 years?

A) $66,915.91

B) $228,800.00

C) $64,342.22

D) $286,000.00

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Use geometric sequences and series to model real-world problems.

15) Adrienne bought a condominium in 2005 for $120,000. She expects it to appreciate 2% per year. Calculate the expected value of the condominium after 7 years.

A) $135,139.49

B) $137,842.28

C) $16,800.00

D) $14,400.00

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Use geometric sequences and series to model real-world problems.

16) Find the common ratio of the geometric sequence 4, -16, 64, -256, 1,024, ....

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Recognize a geometric sequence.

17) Write the formula for the nth term of the geometric sequence with (a) with subscript (1) = 7 and r = -10.

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Find the general, nth term of a geometric sequence.

18) The population of a city increased at the rate of 4% every year over an eight-year period. If the population was 4,000 in 2000, what was the population in 2005?

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Use geometric sequences and series to model real-world problems.

19) A bungee jumper rebounds 71% of the height jumped. Assuming the bungee jump is made with a cord that stretches to 390 feet, how far will the bungee jumper travel upward on the fourth rebound?

A) On the fourth rebound, the jumper will reach a height approximately 70 feet.

B) On the fourth rebound, the jumper will reach a height approximately 140 feet.

C) On the fourth rebound, the jumper will reach a height approximately 99 feet.

D) On the fourth rebound, the jumper will reach a height approximately 1108 feet.

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Use geometric sequences and series to model real-world problems.

20) Find the sum of the finite geometric series 5 + 10 + 20 + 40 + ... + 160.

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Evaluate a finite geometric series.

21) Find the sum of the finite geometric series 1 + (1/4) + (1/16) + (1/64) + ... + (1/1,024). Round the answer to 3 decimal places if necessary.

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Evaluate a finite geometric series.

22) Find the sum of the infinite geometric series 1 + (1/5) + (1/25) + (1/125) + ... . Round the answer to 3 decimal places if necessary.

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Evaluate an infinite geometric series, if it exists.

23) Find the sum of the finite geometric series sum of (5((3)) with superscript (n)) from (n=0) to (4).

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Evaluate a finite geometric series.

24) Find the sum of the finite geometric series sum of (((1/5)) with superscript (n)) from (n=0) to (6). Round the answer to 3 decimal places if necessary.

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Evaluate a finite geometric series.

25) Find the sum of the infinite geometric series sum of (((1/6)) with superscript (n)) from (n=0) to (∞). Round the answer to 3 decimal places if necessary.

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 03

Learning Objective: Evaluate an infinite geometric series, if it exists.

© (2022) John Wiley & Sons, Inc. All rights reserved. Instructors who are authorized users of this course are permitted to download these materials and use them in connection with the course. Except as permitted herein or by law, no part of these materials should be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise.

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Document Type:
DOCX
Chapter Number:
9
Created Date:
Aug 21, 2025
Chapter Name:
Chapter 9 Sequences, Series, And Probability
Author:
Cynthia Y. Young

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