Sangeetha Pulapaka
0
  1. Step 4 of  PATTERN A has 12 dots, this is because every step has an increase of 3 dots. Step 4 of  PATTERN B has 12 dots, because the dots in every step is the square of the step number and  3. For example step 0 is 0^{2}+3or 3 dots , step 1 is 1^{2}+3 or 4 dots, step 2 is 2^{2}+3 or 7 dots, step 3 is 3^{2}+3 or 12 dots.
  2. Pattern B shows a quadratic relationship, between the step number and the number of dots, because the number of dots are got by squaring the step number and adding it with 3.