Generalising patterns with fractions in tenths or hundredths
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.
Worked examples
Question 1
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?
Question 2
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?
Question 3
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.
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?