Free Printable Unit 9 Sequences

Worksheets

Unit 9 Sequences _G6

Total questions: 44

Worksheet time: 2hrs 39mins

Name

Class

Date

If the sequence 6, 11, 16, 21 continues, what will be the 9^th term?

(a)

The difference between two terms in an arithmetic sequence is called ___________________.

Formula

Common Ratio

Common Difference

Common Factor

Which of the following is an example of an arithmetic sequence?

4, 8, 16, 32, 64

1, 2, 4, 7, 11

15, 13, 11, 9, 7

3, 6, 12, 24, 48

The first three terms of an arithmetic sequence are as follows.

3, -4, -11

Find the next two terms of this sequence

-17 and -25

-18 and -26

-18 and -25

-17 and -26

The second term of a sequence is 13. The term to term rule is: "Multiply by 2 then subtract 3". What is the first term of the sequence?

(a)

Fill in the missing term in the following sequence.

1, 1, 2, 3, 5, 8, 13, 21, ? , 55

The third term of a sequence is 48. The term to term rule is "Subtract 2 then multiply by 3". What is the first term of the sequence?

Find the n^th term of the following sequence...

8, 13, 18, 23...

5n+3

3n+5

n+5

n+3

Find the n^th term of the following sequence...

7, 16, 25, 24...

9n-2

9n+2

9n-3

9n+3

10.

What is the 20th term in the sequence...

9n - 4

176

184

108

180

11.

Which sequence is NOT an arithmetic sequence?

-7, -13, -19, -25,...

-10, -6, -2, 2,..

6, 8, 10, 12,...

3, 15, 75, 375,...

12.

Determine the number of circle in the next term...

13.

Is the number 83 in this sequence: 3, 9, 15, 21, 27, 33... ?

Yes

14.

For the sequence with the nth term formula 6n + 4, which term is 148?

20th

n = 20

24th

n = 24

28th

n = 28

32nd

n = 32

15.

Find the value of a in the following arithmetic sequence

5, 9, a, 17, 21

(a)

16.

Find the nth term of the following sequence

7, 9, 11, 13, 15

(input your answer without spaces)

(a)

17.

Find the nth term of the following sequence

5, 11, 17, 23, 29

n + 6

n - 1

6n - 1

6n + 1

18.

Find the nth term of the following sequence

-1, 4, 9, 14, 19

(input your answer without spaces)

(a)

19.

Find the nth term of the following sequence

10, 7, 4, 1, ...

(type your answer without spaces)

(a)

20.

What is the 50 term in the sequence 1, 7, 13, 19 …?

(a)

21.

Here is nth term for a sequences. Find the first 5 terms for the sequence.

2n + 9

2, 4, 6, 8, 10

9, 11, 13, 15, 17

11, 13, 15, 17, 19

19, 17, 15, 13, 11

22.

Here is nth term for a sequences. Find the first 5 terms for the sequence.

5n + 3

(separate the terms in comma with no spaces)

(a)

23.

Do you understand the lesson today?

24.

The first term of a sequence is 5. The term-to-term rule is: "Multiply by 2 then subtract 1". What is the second term of the sequence?

25.

The second term of a sequence is 20. The term-to-term rule is: "Divide by 2 then add 4". What is the first term of the sequence?

26.

The first term of a sequence is 10. The term-to-term rule is: "Multiply by 3 then subtract 2". What is the second term of the sequence?

27.

The fourth term of a sequence is 52. The term-to-term rule is "Multiply by 2 then subtract 4". What is the first term of the sequence?

28.

Find the term-to-term rule for the following sequence:

34, 28, 22, 16...

-7

-6

-4

-5

29.

Find the term-to-term rule for the following sequence:

63, 58, 53, 48...

-3

-2

-4

-5

30.

Find the term-to-term rule for the following sequence:

17, 26, 35, 44...

+10

31.

Identify the pattern in the sequence: 1, 4, 9, 16, 25. What is the next number in the sequence?

32.

Use the position-to-term rule to work out the fifth term:

term\ =\ 4\ \times\ position\ number+1

33.

Work out an expression for the $nth$ term for each sequence.

-2,\ -7,\ -12,\ -17,\ ...

$-2n+5$

$n-5$

$5n-3$

$−5n+3$

34.

Given the nth term is 9-2n, what is the 7th term?

-5

-4

-3

35.

If the rule is multiply by 4 then subtract 6 what is 4th term in the sequence?

36.

Given the nth term is 3n+1 what is the 10th term?

37.

What are missing terms in this sequence?

5, __, __, 26

11,20

13,23

9,29

12,19

38.

Find the n^th term of the following sequence...

-4, -1, 2, 5...

7n+3

7n-3

3n+7

3n-7

39.

Generate the first 4 terms of the sequence with the following n^th term rule...

3n + 7

10, 13, 16, 19...

7, 10, 13, 16...

10, 14, 18, 22...

10, 17, 24, 31...

40.

Find the n^th term of the following sequence...

-3, 2, 7, 12...

8n-5

8n+5

5n+8

5n-8

41.

Find the n^th term of the following sequence...

10, 13, 16, 19...

7n+3

7n-3

3n+7

3n-7

42.

Select all possible functions for this function machine

$\times3$

$+3$

$\times2$

$+2$

43.

Select the missing number

44.

Select the missing number

Reset

Unit 9 Sequences _G6

Total questions: 44

Worksheet time: 2hrs 39mins

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