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Worksheets

Nth Term of a Geometric Sequence

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What is the common ratio of this sequence ? 5, 25, 125, ...

a)

4

b)

2

c)

5

d)

6

2.

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

a)

-6

b)

6

c)

12

d)

-4

3.

What is the common ratio of the geometric sequence -2, -8, -32, -128, ...?

a)

-4

b)

4

c)

-2

d)

2

4.

What is the 5th term of the geometric sequence -2, -8, -32, -128, ...?

a)

-2048

b)

-512

c)

-256

d)

-384

5.

Solving for the nth term of geometric sequence, given that a1 = 4 and r= 6, what is the value of the 4th term?

a)

144

b)

864

c)

124

d)

764

6.

Which of the following is a geometric sequence?

a)

2, 4, 5, . . .

b)

2, 6, 18, . . .

c)

2, 4, 6, . . .

d)

10, 20, 200, . . .

7.

What is the 5th term of the sequence 7, 14, 28, ...?

a)

72

b)

48

c)

56

d)

112

8.

The next term of the sequence 2,4,8,16 is

a)

64

b)

32

c)

108

d)

20

9.

Find the 10th term of the following geometric sequence

5, 20, 80, 320, ...

a)

81,920

b)

327,680

c)

1,310,720

d)

5,242,880

10.

 an=a1rn−1a_n=a_1r^{n-1}  

Given the formula for a geometric sequence , r stands for

a)

common difference

b)

wanted term

c)

common ratio

d)

first term