Answer: 0.06
Step-by-step explanation:
Given
Eve's number decreases by 2 hundredths each time i.e. [tex]0.02[/tex]
Difference between 3rd and 4 th number is [tex]0.02[/tex], while the difference between 3 rd and 5 th is double the previous i.e. [tex]2\times 0.02=0.04[/tex]
So, the the difference between the 3 rd and 6 th number is three time the difference
[tex]\Rightarrow 3\times 0.02\\\Rightarrow 0.06[/tex]