Free Printable (Pre - AP)Arithmetic Sequences Review

1.

Below are different sequences of numbers. Which ones are considered arithmetic, and what is the correct reason?

a)

1, 2, and 4 — because each has the same difference between consecutive terms.

b)

1 and 3 — because both increase in a predictable way.

c)

2 and 4 — because they both decrease at a constant rate.

d)

1, 2, and 3 — because all three follow a rule for generating terms.

2.

Consider the sequence: 4,9,14,19,… Classify the sequence as arithmetic or geometric, and identify its common difference or ratio.

a)

Arithmetic sequence with d = 4

b)

Arithmetic sequence with d = 5

c)

Geometric sequence with r = 1/5

d)

Geometric sequence with r = 5

3.

An arithmetic sequence is given by: −33,−24,−15,−6,… What are the next three terms in the sequence?

a)

-1, 7, 15

b)

3, 12, 21

c)

-5, 2, 9

d)

-65, -73, -81

4.

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

a)

63, 72, 81

b)

79, 88, 97

c)

61, 70, 79

d)

70, 79, 88

5.

What is the 9th term of the sequence (5x+9)?

a)

63

b)

72

c)

45

d)

54

6.

Identify the 21st term of the sequence (185 – 3n).

a)

122

b)

125

c)

119

d)

128

7.

Solve for the 8th term of the sequence: 4n – (2n – 1).

a)

11

b)

6

c)

18

d)

17

8.

Find the first five terms of the sequence given the rule below.

a)

2, 5, 8, 11, 14

b)

2, 3, 4, 5, 6

c)

2, 6, 10, 14, 18

d)

2, 4, 6, 8, 10

9.

The function below describes an arithmetic sequence, where A(n) is the nth term and n is the term number. A(n) = 6 + 3(n - 1) Which table best fits the sequence?

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

10.

If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 10th term?

a)

39

b)

40

c)

43

d)

47

11.

If the first term of the arithmetic sequence is -9 and the common difference is 12, then what is the 11th term of the sequence?

a)

111

b)

123

c)

135

d)

147

12.

If the first term of the arithmetic sequence is 7 and the common difference is -5, then what is the 14th term of the sequence?

a)

-58

b)

58

c)

72

d)

67

13.

A recovering heart attack patient is told to get on a regular walking program. The patient is told to walk a distance of 5 km the first week, 8 km the second week, 11 km to the third week, and so on. How many miles will the patient walk during the 10th week?

a)

32 km

b)

29 km

c)

36 km

d)

42 km

14.

A new employee starts with a salary of $28,000. Every year, they receive a raise of $1,800. What will be their salary in the 8th year?

a)

$41,400

b)

$42,600

c)

$43,400

d)

$40,600

15.

A concert sells 500 tickets on the first day. Every day, sales increase by 50 tickets. How many tickets are sold on the 12th day?

a)

1,000

b)

1,050

c)

1,100

d)

1,150

16.

Create the explicit formula for the sequence: 2, 8, 14, …

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

17.

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence.

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

18.

An arithmetic sequence is given below. 2, 9, 16, 23, … Which is the explicit formula for the nth term?

a)

Option 1

b)

Option 2

c)

Option 3

d)

Option 4

19.

If the first term of the arithmetic sequence is 3 and the 6th term is 43, then what is the common difference of the sequence?

a)

8

b)

7

c)

6

d)

5

20.

If the first term of an arithmetic sequence is 7 and the 6th term is 32, what is the common difference of the sequence?

a)

4

b)

5

c)

6

d)

7

21.

Below are different sequences of numbers. Which is considered arithmetic?

a)

2, 4, 8, 16, 32

b)

-5, -2, 1, 4, 7

22.

The first three terms of an arithmetic sequence are as follows

13, 19, 25, (a) , (b) , (c)

What are the next three terms of the sequence?

Choose from the below words

31

37

36

30

32

41

29

43

40

44

23.

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂?

a)

a₂₂= -61

b)

a₂₂= 61

c)

a₂₂= -1

d)

a₂₂= -51

24.

What is the 100th term in the sequence a_n = 4n – (2n – 1)?

a)

201

b)

-402

c)

-388

d)

100

25.

Given the explicit formula, find the first five terms of the sequence.
$a_n=6\left(n-1\right)+20$

a)

$20,\ 26,\ 32,\ 36,\ 40$

b)

$14,\ 8,\ 2,\ -4,\ -10$

c)

$20,\ 26,\ 32,\ 38,\ 44$

d)

$20,\ 34,\ 48,\ 62,\ 74$

26.

If the first term of an arithmetic sequence is 5 and the common difference is -3, what is the 12th term?

a)

-15

b)

-28

c)

-25

d)

-10

27.

A stack of books is arranged so that the first book has 2 pages of notes, the second book has 6 pages of notes, the third book has 10 pages of notes, and so on. If this pattern continues, how many pages of notes will be in the 20th book?

a)

90

b)

78

c)

64

d)

50

28.

Create the formula for the arithmetic sequence:
-2, -9, -16, -23, -30...

a)

a_n= -7n+5

b)

a_n= 7n+5

c)

a_n= 7n-5

d)

a_n= -7n-5

29.

Create the formula for the arithmetic sequence:
6, 11, 16, 21...

a)

a_n= -1-5n

b)

a_n= -1+5n

c)

a_n= 1+5n

d)

a_n= 1-5n

30.

If the first term of an arithmetic sequence is 3 and the 6th term is 43, what is the common difference of the sequence?

a)

5

b)

10

c)

15

d)

8

(Pre - AP)Arithmetic Sequences Review

Total questions: 30

Worksheet time: 1hrs 12mins

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