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Worksheets

Geometric Sequence

Total questions: 10

Worksheet time: 3mins

Name
Class
Date
1.

What is the next term in the sequence 3, -6, 12, -24 , ...

a)

48

b)

-48

c)

36

d)

-36

2.

Which set of numbers is an example of a geometric sequence?

a)

11, 13 ,15, 17, . . .      

b)

3, 6, 12, 24, . . .

c)

2, -4, 10, -21,. . .

d)

  12, 13, 14, ...\frac{\text{1}}{\text{2}},\ \frac{\text{1}}{\text{3}},\ \frac{\text{1}}{\text{4}},\ ...   

3.

What is the common ratio of the geometric sequence 5, 15, 45, 135, . . .?

a)

-2

b)

2

c)

12\frac{1}{\text{2}}  

d)

3

4.

What is the next term in the geometric sequence 256, -128, 64, ___?

a)

 -32

b)

-42

c)

-52

d)

-62

5.

What is the 6th term of the sequence -3, -1, −13, −19\frac{-1}{3},\ \frac{-1}{9}  …?

a)

−181\frac{-1}{81}  

b)

−19\frac{-1}{9}  

c)

−127\frac{-1}{27}  

d)

−118\frac{-1}{18}  

6.

What is the missing term in the sequence 40, 20, __, 5 , 2.5?

a)

10

b)

15

c)

12

d)

18

7.

Insert a geometric mean between 3 and 27.

a)

6

b)

7

c)

8

d)

9

8.

Insert 2 geometric means between 9 and -72.

a)

18 ,36

b)

-18,36

c)

-18, -36

d)

18, -36

9.

What is the sum of the geometric sequence 3, 6, 12, 24, 48 ?

a)

90

b)

91

c)

92

d)

93

10.

What is the common ratio of the sequence 4, 8, 16, 32, ...

a)

2

b)

3

c)

4

d)

5