5.5 Generating sequences

What are the next numbers in this sequence 1 , 4 , 9, _ , _

• 15, 18

• 16, 25

• 16, 26

• 12, 15

What are the next numbers in this sequence 1 , 8 , 27, _ , _ ,_

• 36, 45, 54

• 31, 44, 112

• 64, 125, 216

12, 17, 23, 30, _ , _ , _

• 38, 47, 57

• 36, 46, 56

• 38, 48, 59

• 38, 47, 58

1, 3, 6, 10, 15, ..

• 20, 27, 37, 45

• 21, 28, 36, 45

• 21, 28, 37, 45

Complete this sequence 0, 1, 1, 2, 3, 5

• 6, 8, 10

• 8, 11, 19

• 8 , 13, 21

1, 2, 4, 8, 16, 32, _ , _

• 64, 128

• 64, 122

• 64, 126

0.25, 1/2, 0.75, 1.0

• 1 1/4, 1.5, 1 3/4

• 1.25, 1 1/2 , 1.75

Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?

• 2

• 4

• 6

• 8

Describe the pattern in the sequence. Find the next three terms.

13, 15, 17, 19,...

• Add 2; 23, 25, 27

• Multiply by 2; 38, 76, 152

• Add -2; 17, 15, 13

• Add 2; 21, 23, 25

What is the fifth term of the geometric sequence?

5, 15, 45,...

• 135

• 1875

• 1215

• 405