Home > CC1 > Chapter 1 > Lesson 1.1.4 > Problem1-30

1-30.

Copy the number patterns below and write the next four numbers in the pattern. Assume the pattern continues as shown. Describe the pattern in words. Homework Help ✎

1. 2, 7, 12, 17, 22, ___, ___, ___, ___

Try to look at how the numbers grow. Also look for relationships between the numbers - do they have anything in common?

$2,7,12,17,22,27,32,37,42$

2. 1, 4, 9, 16, 25, ___, ___, ___, ___

Try finding the difference between each consecutive number. Is there a pattern in the differences?

$1,4,9,16,25,36,49,64,81$

3. 1, 1, 2, 3, 5, 8, ___, ___, ___, ___

How is 5 related to 2 and 3 before it? How is 8 related to 3 and 5 before it? Using this relationship, what numbers come next in the pattern?