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Worksheets

Mastering Arithmetic Progression

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

What is the common difference of the sequence 3, 7, 11, 15?

a)

4

b)

8

c)

6

d)

2

2.

Find the 10th term of the arithmetic sequence where the first term is 5 and the common difference is 3.

a)

32

b)

28

c)

25

d)

35

3.

Calculate the sum of the first 20 terms of the arithmetic sequence 2, 5, 8, ...

a)

450

b)

610

c)

500

d)

720

4.

Determine if the sequence 4, 8, 12, 16 is an arithmetic progression.

a)

Yes

b)

No

c)

The difference is not constant

d)

Only for even numbers

5.

Graph the arithmetic sequence defined by the first term 1 and common difference 2.

a)

The graph of the arithmetic sequence is a straight line with points (1,1), (2,3), (3,5), (4,7), (5,9), ...

b)

The graph of the arithmetic sequence is a straight line with points (1,1), (2,2), (3,3), (4,4), (5,5), ...

c)

The graph of the arithmetic sequence is a curve with points (1,1), (2,2), (3,4), (4,8), (5,16), ...

d)

The graph of the arithmetic sequence is a straight line with points (1,1), (2,4), (3,7), (4,10), (5,13), ...

6.

What is the common difference in the sequence 10, 7, 4, 1?

a)

-4

b)

0

c)

-2

d)

-3

7.

Find the 15th term of the arithmetic sequence where the first term is 12 and the common difference is -2.

a)

-16

b)

10

c)

-10

d)

0

8.

Calculate the sum of the first 15 terms of the sequence 1, 4, 7, ...

a)

315

b)

300

c)

330

d)

360

9.

Is the sequence 5, 10, 20, 40 an arithmetic progression?

a)

10, 20, 30, 40

b)

5, 10, 15, 20

c)

1, 2, 3, 4

d)

No

10.

What is the common difference of the sequence -3, -1, 1, 3?

a)

3

b)

2

c)

4

d)

1

11.

Find the 25th term of the arithmetic sequence where the first term is 0 and the common difference is 5.

a)

120

b)

130

c)

110

d)

100

12.

Calculate the sum of the first 10 terms of the sequence 6, 9, 12, ...

a)

210

b)

180

c)

150

d)

195

13.

Determine if the sequence 1, 3, 5, 7 is an arithmetic progression.

a)

Yes

b)

No

c)

Only for even numbers

d)

The sequence is random

14.

Graph the arithmetic sequence defined by the first term 4 and common difference 3.

a)

The points to graph are (1, 4), (2, 7), (3, 10), (4, 13), (5, 16), ...

b)

(1, 3), (2, 6), (3, 9), (4, 12), (5, 15)

c)

(1, 4), (2, 8), (3, 12), (4, 16), (5, 20)

d)

(1, 1), (2, 4), (3, 7), (4, 10), (5, 13)

15.

What is the common difference in the sequence 20, 15, 10, 5?

a)

5

b)

0

c)

-5

d)

-10

16.

Find the 5th term of the arithmetic sequence where the first term is 7 and the common difference is 1.

a)

9

b)

13

c)

11

d)

15

17.

Calculate the sum of the first 12 terms of the sequence 3, 6, 9, ...

a)

234

b)

120

c)

180

d)

300

18.

Is the sequence 2, 4, 8, 16 an arithmetic progression?

a)

The sequence is geometric

b)

The difference is constant

c)

No

d)

Yes

19.

What is the common difference of the sequence 1, 1, 1, 1?

a)

2

b)

1

c)

0

d)

-1

20.

Find the 30th term of the arithmetic sequence where the first term is 10 and the common difference is 10.

a)

300

b)

200

c)

350

d)

250