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Arithmetic Sequences Intro

Total questions: 13

Worksheet time: 26mins

Name
Class
Date
1.

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


1, 2, 3, 4,...

a)

Addition/Subtraction (Arithmetic)

b)

Other

2.

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

3, 6, 12, 24,...

a)

Addition/Subtraction (Arithmetic)

b)

Other

3.

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

15, 11, 7, 3,...

a)

Addition/Subtraction (Arithmetic)

b)

Multiplication/Division (Geometric)

4.

Which of the following is true about the sequence

37, 42, 47, 52, 57...

a)

a1 = 47

b)

a2 = 47

c)

a3 = 47

d)

a4 = 47

5.

Given the sequence 210, 205, 200, 195, 190..., what is a7?

a)

185

b)

180

c)

175

d)

170

6.

If a sequence is arithmetic, all of the following are true except:

a)

You add the same value to get from one term to the next

b)

The difference between a1 and a2 is the same as the difference between a2 and a3

c)

The sequence has a common difference

d)

The difference between any two numbers in the sequence is the same

7.

What is the common difference of the sequence

11, 20, 29, 38...

a)

9

b)

-9

c)

31

d)

-31

8.

True or False:

If a sequence is arithmetic, it has a common difference

a)

True

b)

False

9.

True or False:

Common difference must be positive since we have to add it to each term to find the next term in the sequence.

a)

True

b)

False

10.

Identify the common difference.

97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

11.

Identify the common difference.

99, 86, 73, 60, ...

a)

8

b)

13

c)

-13

d)

-8

12.
Find the common difference: 1, 201, 401, 601, ...
a)
d = 100
b)
d = 101
c)
d = 200
d)
d = 201
13.

What is the common difference for the arithmetic sequence: 25, 34, 43, 52, ...

a)

1

b)

-11

c)

-9

d)

9