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Worksheets

Sequences

Total questions: 15

Worksheet time: 28mins

Name
Class
Date
1.

Which of the following is not an arithmetic sequence?

a)

1/2, 1, 3/2, 2

b)

11, 14, 17, 20

c)

2, 4, 8, 16

d)

5, 2, -1, -4

2.

Identify the common difference of the sequence below:

-2.3, -1.1, 0.1, 1.3,...

a)

-1.2

b)

1.3

c)

1.2

d)

-1.3

3.

Write the explicit formula for the sequence shown below.

1, 6, 11, 16

a)

an=1+5(n-1)

b)

an=1−5(n-1)

c)

an=5−(n-1)

d)

an=5+(n-1)

4.

Find the 8th term of a geometric sequence for which a1=2 and r = 7?

a)

823,543

b)

11,529,602

c)

1,647,086

d)

5,764,801

5.
What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?
a)
Arithmetic
b)
Geometric
c)
Neither
6.
Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?
a)
Geometric
b)
Arithmetic
c)
Both
d)
Neither
7.
The next two terms of the sequence 12, 17, 22, 27 are ....
Hint:  Find the common difference to help you figure out the rule.
a)
28 and 33
b)
29 and 34
c)
32 and 37
d)
30 and 35
8.
What is the 6th term in the following sequence?
11, 15, 19, 23, ___, _?_
a)
30
b)
27
c)
31
d)
32
9.

Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?

a)

2

b)

4

c)

6

d)

8

10.

Firewood is stacked in a pile. The bottom row has 20 logs and the top row has 14 logs. Each row has one more log than the row above it.


How many logs are in the pile?

a)

4

b)

5

c)

6

d)

7

11.

If three arithmetic means are inserted between 11 and 39, find the second arithmetic mean.

a)

18

b)

25

c)

32

d)

46

12.

If three geometric means are inserted between 1 and 256, find the third geometric mean.

a)

64

b)

32

c)

16

d)

4

13.

Which term of the arithmetic sequence 4, 1, -2, -5 , . . . is -29 ?

a)

9th term

b)

10 term

c)

11th term

d)

12th term

14.

Find the eighth term of a geometric sequence where the third term is 27 and the common ratio is 3.

a)

2187

b)

6561

c)

19,683

d)

59, 049

15.

 Find the common difference in the arithmetic sequence  3,

 3,134, 72, 154, ...3,\frac{13}{4},\ \frac{7}{2},\ \frac{15}{4},\ ...  

a)

 14\frac{1}{4}  

b)

 34\frac{3}{4}  

c)

 52\frac{5}{2}  

d)

4