Ch9 Sequences, Series, And Probability Exam Questions - Test Bank | College Algebra 5e by Young by Cynthia Y. Young. DOCX document preview.

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Ch9 Sequences, Series, And Probability Exam Questions

College Algebra, 5e (Young)

Chapter 9 Sequences, Series, and Probability

9.1 Sequences and Series

1) Write the first four terms of the following sequence. Assume that n starts at 1.

(a) with subscript (n) = (n + 6/6n)

A) (a) with subscript (1) = 1, (a) with subscript (2) = (7/12), (a) with subscript (3) = (4/9), (a) with subscript (4) = (3/8)

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

C) (a) with subscript (1) = 1, (a) with subscript (2) = (7/6), (a) with subscript (3) = (2/3), (a) with subscript (4) = (1/2)

D) (a) with subscript (1) = (7/6), (a) with subscript (2) = (2/3), (a) with subscript (3) = (1/2), (a) with subscript (4) = (5/12)

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Find terms of a sequence given the general term.

2) Write the first four terms of the following sequence. Assume that n starts at 1.

(a) with subscript (n) = (-(n - 11)/17n)

A) (a) with subscript (1) = 1, (a) with subscript (2) = (9/17), (a) with subscript (3) = (8/51), (a) with subscript (4) = (7/68)

B) (a) with subscript (1) = (10/17), (a) with subscript (2) = (9/34), (a) with subscript (3) = (8/51), (a) with subscript (4) = (7/68)

C) (a) with subscript (1) = (11/17), (a) with subscript (2) = (10/17), (a) with subscript (3) = (9/51), (a) with subscript (4) = (8/68)

D) (a) with subscript (1) = 1, (a) with subscript (2) = (10/17), (a) with subscript (3) = (9/34), (a) with subscript (4) = (8/51)

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Find terms of a sequence given the general term.

3) Write the first four terms of the following sequence. Assume that n starts at 1.

(a) with subscript (n) = (-(11n + 11)/n)

A) (a) with subscript (1) = 1, (a) with subscript (2) = -22, (a) with subscript (3) = -11, (a) with subscript (4) = -11

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

C) (a) with subscript (1) = -22, (a) with subscript (2) = - (33/2), (a) with subscript (3) = - (44/3), (a) with subscript (4) = - (55/4)

D) (a) with subscript (1) = 1, (a) with subscript (2) = -22, (a) with subscript (3) = - (33/2), (a) with subscript (4) = - (44/3)

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Find terms of a sequence given the general term.

4) Find the term (a) with subscript (5) of the sequence (a) with subscript (n) = ((1/3)) with superscript (n).

A) (a) with subscript (5) = (1/243)

B) (a) with subscript (5) = 243

C) (a) with subscript (5) = 15

D) (a) with subscript (5) = (1/15)

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Find terms of a sequence given the general term.

5) Find the term (a) with subscript (2) of the sequence (a) with subscript (n) = (3 + (1/3n)) with superscript (2).

A) (a) with subscript (2) = (6/19)

B) (a) with subscript (2) = 6

C) (a) with subscript (2) = 19

D) (a) with subscript (2) = (361/36)

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Find terms of a sequence given the general term.

6) Find the term (a) with subscript (81) of the sequence (a) with subscript (n) = (log(10)) with superscript (2).

A) (a) with subscript (81) = 9

B) (a) with subscript (81) =9

C) (a) with subscript (81) = 1/ 9

D) (a) with subscript (81) = 1/9

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Find terms of a sequence given the general term.

7) Find the term (a) with subscript (10) of the sequence (a) with subscript (n) = (((-1)) with superscript (n+2)(n + 7)(n - 7)/n).

A) (a) with subscript (10) = - (10/51)

B) (a) with subscript (10) = -51

C) (a) with subscript (10) = - (51/10)

D) (a) with subscript (10) = 10

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Find terms of a sequence given the general term.

8) Write an expression for the (n) with superscript (th) term of the sequence 1, 6, 11, 16, 21, ...

A) (a) with subscript (n) = 5n - 4, for n = 1, 2, 3, ...

B) (a) with subscript (n) = 4n + 5, for n = 1, 2, 3, ...

C) (a) with subscript (n) = 4n - 5, for n = 1, 2, 3, ...

D) (a) with subscript (n) = n + 4, for n = 1, 2, 3, ...

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Look for a pattern in a sequence and find the general term.

9) Write an expression for the (n) with superscript (th) term of the sequence (1/3), (1/4), (1/5), (1/6), (1/7), ...

A) (a) with subscript (n) = (1/3n + 2), for n = 1, 2, 3, ...

B) (a) with subscript (n) = (1/n + 2), for n = 1, 2, 3, ...

C) (a) with subscript (n) = n + 2, for n = 1, 2, 3, ...

D) (a) with subscript (n) = 3n + 2, for n = 1, 2, 3, ...

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Look for a pattern in a sequence and find the general term.

10) Simplify the ratio of factorials (6!/4!).

A) 10

B) 2

C) 24

D) 30

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Apply factorial notation.

11) Simplify the ratio of factorials (35!/33!).

A) 1190

B) 2

C) 68

D) 1155

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Apply factorial notation.

12) Simplify the ratio of factorials (96!/92!).

A) 188

B) 4

C) 79,727,040

D) 8832

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Apply factorial notation.

13) Write the first four terms of the sequence defined by the recursion formula. Assume the sequence begins at 1.

table ( ((a) with subscript (1) = 2 (a) with subscript (n) = (a) with subscript (n-1) + 10) )

A) (a) with subscript (1) = 1, (a) with subscript (2) = 2, (a) with subscript (3) = 12, (a) with subscript (4) = 22

B) (a) with subscript (1) = 2, (a) with subscript (2) = 12, (a) with subscript (3) = 22, (a) with subscript (4) = 32

C) (a) with subscript (1) = 0, (a) with subscript (2) = 2, (a) with subscript (3) = 12, (a) with subscript (4) = 22

D) (a) with subscript (1) = 12, (a) with subscript (2) = 22, (a) with subscript (3) = 32, (a) with subscript (4) = 42

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Apply recursion formulas.

14) Write the first four terms of the sequence defined by the recursion formula. Assume the sequence begins at 1.

table ( ((a) with subscript (1) = 2, (a) with subscript (2) = 3__ (a) with subscript (n) = 2(a) with subscript (n-1)3(a) with subscript (n-2)) )

A) (a) with subscript (1) = 2, (a) with subscript (2) = 3, (a) with subscript (3) = 12, (a) with subscript (4) = 18

B) (a) with subscript (1) = 1, (a) with subscript (2) = 2, (a) with subscript (3) = 3, (a) with subscript (4) = 36

C) (a) with subscript (1) = 36, (a) with subscript (2) = 648, (a) with subscript (3) = 139,968, (a) with subscript (4) = 544,195,584

D) (a) with subscript (1) = 2, (a) with subscript (2) = 3, (a) with subscript (3) = 36, (a) with subscript (4) = 648

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Apply recursion formulas.

15) Evaluate the finite series.

sum of (3n - 1) from (n=1) to (4)

A) 26

B) 15

C) 14

D) 18

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Use summation (sigma) notation to represent a series.

16) Evaluate the finite series.

sum of ((3) with superscript (k)) from (k=1) to (4)

A) 40

B) 120

C) 118

D) 324

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Use summation (sigma) notation to represent a series.

17) Evaluate the finite series.

sum of ((k) with superscript (k)) from (k=1) to (5)

A) 15,625

B) 3413

C) 55

D) 701

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Use summation (sigma) notation to represent a series.

18) Write the first four terms of the sequence. Assume that n starts at 1.

(a) with subscript (n) = ((-4)) with superscript (n+3)(n) with superscript (4)

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Find terms of a sequence given the general term.

19) Find the term (a) with subscript (2) of the sequence (a) with subscript (n) = ((1/3)) with superscript (n).

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Find terms of a sequence given the general term.

20) Simplify the ratio of factorials.

(151!/149!)

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Apply factorial notation.

21) Evaluate the finite series.

sum of ((2n - 1)) from (n=1) to (4)

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Evaluate a series.

22) Dylan sells his car freshman year and puts $3100 in an account that earns 6.2% interest compounded monthly. The balance in the account after n months is

(A) with subscript (n) = 3100(1 + (0.062/12)) with superscript (n) n = 1, 2, 3,...

Calculate (A) with subscript (24). What does (A) with subscript (24) represent?

A) $3132.12, (A) with subscript (24) represents the balance in 24 months or 2 years.

B) $3508.13, (A) with subscript (24) represents the balance in 24 years.

C) $3508.13, (A) with subscript (24) represents the balance in 24 months or 2 years.

D) $74,784.40, (A) with subscript (24) represents the balance in 24 months or 2 years.

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Find terms of a sequence given the general term.

23) Simplify the ratio of factorials ((5n + 15)!/(5n + 13)!).

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Apply factorial notation.

24) Write the first four terms of the sequence defined by the recursion formula. Assume the sequence begins at 1.

table ( ((a) with subscript (1) = 2,__ (a) with subscript (n) = 24((a) with subscript (n-1)/n!)) )

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Apply recursion formulas.

25) Evaluate the finite series.

sum of (((3x)) with superscript (n+2)) from (n=1) to (4)

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Evaluate a series.

26) Evaluate the infinite series if possible.

sum of ((45 ∙ 0.6) with superscript ( j)) from (j=0) to (∞)

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Evaluate a series.

27) Apply sigma notation to write the sum.

1 + (1/5) + (1/25) + (1/125) + (1/625)

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 01

Learning Objective: Use summation (sigma) notation to represent a series.

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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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