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Worksheets

Intro to Geometric Sequences

Total questions: 15

Worksheet time: 1hrs 17mins

Name
Class
Date
1.

Given the pattern (sequence), how do you find the next term?


1, 2, 3, 4,...

a)

Addition/Subtraction (Arithmetic)

b)

Multiplication/Division (Geometric)

2.

Given the pattern (sequence), how do you find the next term?

3, 6, 12, 24,...

a)

Addition/Subtraction (Arithmetic)

b)

Multiplication/Division (Geometric)

3.

Is the sequence Arithmetic or Geometric?

64, 16, 4, 1,...

a)

Arithmetic

b)

Geometric

4.

What would be the next term?

1, 3, 9, 27,...

a)

81

b)

45

c)

243

d)

30

5.
Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}
a)
Arithmetic
b)
Geometric
c)
Neither
6.

What is the common ratio (multiplier) for the sequence:

28, 14, 7, 3.5...

a)

2

b)

1/2

c)

-14

d)

-7

7.

What does r represent?

a)

Radical

b)

Common difference

c)

Common ratio

8.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
9.

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

10.
Find the common ratio: 64, -16, 4, -1, ...
a)
r = -8
b)
r = -1/4
c)
r = -4
d)
r = 4
11.
Find the common ratio: 4, -16, 64, -256, ...
a)
r = -4
b)
r = 2
c)
r = -2
d)
r = 4
12.

What does a1 represent?

a)

Any term

b)

First term

c)

Last term

13.
Find the common ratio for the geometric sequence.
a)
2
b)
-2
c)
1/2
d)
-1/2
14.

Find the common ratio of the following geometric sequence:

2, -10, 50, -250, ...

a)

r = -5

b)

r = 3

c)

r = 5

d)

r = -3

15.

Determine if the following scenario describes an arithmetic or geometric sequence:

You are saving up money to travel. The first week you save $1. The next week you double that amount and save $2. You continue to double every week.

a)

Arithmetic

b)

Geometric

c)

Neither