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Worksheets

Patterns & Sequences

Total questions: 10

Worksheet time: 14mins

Name
Class
Date
1.

Determine the next number in the sequence.

5, 13, 21, 29, __

a)

37

b)

38

c)

39

d)

42

e)

43

2.

Write a sequence of five consecutive even numbers that add to 60.

a)

6, 8, 10, 12, 14

b)

10, 12, 14, 16

c)

9, 10, 11, 12, 13

d)

10, 11, 12, 13, 14

e)

10, 12, 14, 16, 18

3.

Determine the next number in the sequence. 6, 3, 3/2, 3/4

a)

1/4

b)

3/8

c)

3/7

d)

1/2

e)

3/2

4.

The first two numbers in the Fibonacci sequence are 0 and 1. After that, each number is the sum of the previous two. Write the first six numbers in the Fibonacci sequence.

a)

0, 1, 1, 2, 2, 4

b)

0, 1, 1, 2, 3, 4

c)

0, 1, 1, 2, 3, 5

d)

0, 1, 2, 3, 5, 8

e)

0, 1, 2, 3, 6, 9

5.

Write the first six numbers in a sequence in which every number is three times the previous number and the first number is 2.

a)

2, 4, 8, 16, 32, 64

b)

2, 4, 12, 32, 96, 288

c)

2, 6, 12, 24, 72, 216

d)

2, 6, 12, 36, 108, 324

e)

2, 6, 18, 54, 162, 486

6.

Write a sequence of five consecutive even numbers that add to 0.

a)

-4, -2, 0, 2, 4

b)

-3, -1, 1, 3, 5

c)

-2, 0, 2, 4, 6

d)

-2, -1, 0, 1, 2

e)

0, 2, 4, 6, 8

7.

Find the 23rd term in the sequence below.

9, 15, 21, 27, 33, …

a)

135

b)

136

c)

138

d)

141

e)

142

8.

Write the next four numbers in the sequence below.

32, 48, 72, 108, …

a)

124, 140, 156, 172

b)

484/3, 1354/9, 4058/27, 12,072/81

c)

162, 243, 729/2, 2187/4

d)

162, 324, 648, 1296

e)

172, 258, 387, 581

9.

Determine the next number in the sequence.

0, 1, 3, 6, 10, __

a)

13

b)

14

c)

15

d)

16

e)

17

10.

Find the 31st term in the sequence below.

69, 60, 51, 42, 33, …

a)

-279

b)

-201

c)

-189

d)

-188

e)

-31