Test Bank Docx Sequences, Series, And Probability Chapter 9

College Algebra, 5e (Young)

Chapter 9 Sequences, Series, and Probability

9.2 Arithmetic Sequences and Series

1) Find the common difference d of the arithmetic series 5, 7, 9, 11, 13, ...

A) d = -2

B) d = 2

C) d = 8

D) d = 7

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Recognize an arithmetic sequence.

2) Find the common difference d of the arithmetic series 74, 70, 66, 62, 58, ...

A) d = -16

B) d = 16

C) d = 4

D) d = -4

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Recognize an arithmetic sequence.

3) Find the first four terms of the sequence = -3n + 9, for n = 1, 2, 3, ... If the sequence is arithmetic, find the common difference d.

A) = 12, = 15, = 18, = 21; not arithmetic

B) = 6, = 3, = 0, a4 = -3; not arithmetic

C) = 12, = 15, = 18, a4 = 21; d = 3

D) = 6, = 3, = 0, a4 = -3; d = -3

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Find the general nth term of an arithmetic sequence.

4) Find the first four terms of the sequence = 8(n - 7), for n = 1, 2, 3, ... If the sequence is arithmetic, find the common difference d.

A) = -48, = -40, = -32, = -24; not arithmetic

B) = -48, = -40, = -32, = -24; d = 8

C) = 48, = 40, = 32, = 24; not arithmetic

D) = -48, = -40, = -32, = -24; d = -8

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Find the general nth term of an arithmetic sequence.

5) Find the first four terms of the sequence = (2n). If the sequence is arithmetic, find the common difference d.

A) = -2, = 4, = -6, = 8; not arithmetic

B) = -2, = 4, = -6, = 8; d = 2

C) = -2, = 4, = -6, = 8; d = -2

D) = 2, = -4, = 6, = -8; not arithmetic

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Recognize an arithmetic sequence.

6) Find the general, or , term of the sequence given = -2 and d = -6.

A) = -4n - 6

B) = 4n - 6

C) = -6n - 4

D) = -2n - 6

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Find the general nth term of an arithmetic sequence.

7) Find the general, or , term of the sequence given = 7 and d = k.

A) = kn + (7 + k)

B) = kn + (7 - k)

C) = 7n + (7 - k)

D) = kn - (7 - k)

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Find the general nth term of an arithmetic sequence.

8) Find the general, or , term of the sequence given = -10 and

A) = n -

B) = -10n -

C) = n +

D) = n -

Diff: 2 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Find the general nth term of an arithmetic sequence.

9) Find the term of the sequence 8, 13, 18, 23, 28, ...

A) 45

B) 43

C) 38

D) 33

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Find the general nth term of an arithmetic sequence.

10) Find the term of the sequence -6, 0, 6, 12, ...

A) 1164

B) 1170

C) 1176

D) -1200

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Find the general nth term of an arithmetic sequence.

11) Find the sum:

A) 330

B) 226

C) 225

D) 275

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Evaluate a finite arithmetic series.

12) Find the sum:

A) 247

B) 299

C) 210

D) 287

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Evaluate a finite arithmetic series.

13) A minor league baseball stadium has 160 seats in the front row, and each subsequent row has 15 more seats than the previous row. How many seats are in the stadium if there are 50 rows?

A) 223,125 seats

B) 26,375 seats

C) 910 seats

D) 26,535 seats

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Find the general nth term of an arithmetic sequence.

14) Find the common difference d of the arithmetic sequence 136, 120, 104, 88, 72, ...

Diff: 1 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Find the general nth term of an arithmetic sequence.

15) Find term number 23 of the sequence 13, 26, 39, 52, 65, ...

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Find the general nth term of an arithmetic sequence.

16) An outdoor amphitheater has 90 seats in the front row and each subsequent row has 2 more seats than the previous row. How many seats are in in the amphitheater if there are 38 rows?

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Find the general nth term of an arithmetic sequence.

17) Find the sum.

-4 - 3 - 2 - ... + 31

A) 486

B) 472.5

C) 972

D) -486

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Evaluate a finite arithmetic series.

18) Find the sum of the first 65 terms of the series 7 + 14 + 21 + 28 + ...

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Evaluate a finite arithmetic series.

19) For the arithmetic series with 13th term 66 and 34th term 192, find and d and construct the sequence by stating the general, or nth, term.

Diff: 3 Var: 1

Chapter/Section: Ch 09, Sec 02

Learning Objective: Find the general nth term of an arithmetic sequence.

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