The steps in the patterns A and B form a sequence
The attached diagram represents dots in patterns A and B
For pattern A, we have:
Step 2 = 10 dots
Increment of 3 dots in each step
This means that:
Step 0 = 4 dots
Step 1 = 7 dots
Step 2 = 10 dots
Step 3 = 13 dots
For pattern A, we have the following rule
[tex]T_n =2n^2 + 1[/tex]
When n = 0 to 3, we have:
[tex]T_0 =2(0)^2 + 1 =1[/tex]
Step 0 = 1 dot
[tex]T_1 =2(1)^2 + 1 =3[/tex]
Step 1 = 3 dots
[tex]T_2 =2(2)^2 + 1 =9[/tex]
Step 2 = 9 dots
[tex]T_3 =2(3)^2 + 1 =19[/tex]
Step 3 = 19 dots
Next, we draw the diagrams of both patterns (see attachment)
Read more about patterns at:
https://brainly.com/question/15590116