Number Patterns

Lesson

You may have already looked at how to write a rule to describe number patterns. Now we are going to extend this and learn how to write general rules using variables.

A variable is a letter mathematicians use to represent an unknown value. Watch this value to see how we can use variable to describe patterns with fractions.

Complete the following pattern.

$0.01$0.01 $0.02$0.02 $0.03$0.03 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ If $c$

`c`belongs to the same pattern, what is the next number?

Complete the following pattern.

$0.15$0.15 $0.14$0.14 $0.13$0.13 $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ $\editable{}$ If $x$

`x`belongs to the same pattern, what is the next number?

Consider the following pattern.

What is the pattern?

$0.03$0.03 $0.11$0.11 $0.19$0.19 $\editable{}$ $\editable{}$ $\editable{}$ The numbers are increasing by $0.08$0.08.

AThe numbers are increasing by $80$80.

BThe numbers are increasing by $8$8.

CThe numbers are increasing by $0.8$0.8.

DThe numbers are increasing by $0.08$0.08.

AThe numbers are increasing by $80$80.

BThe numbers are increasing by $8$8.

CThe numbers are increasing by $0.8$0.8.

DNow complete the pattern.

$0.03$0.03 $0.11$0.11 $0.19$0.19 $\editable{}$ $\editable{}$ $\editable{}$ If $x$

`x`belongs to the same pattern, what is the next number?