The numerical pattern that follows the rule "subtract 3, and then multiply by 3, "when starting with 6 is

The correct answer is: 6, 9, 18, 45

Step by step solution:
Option A: (6 – 3) × 3 = 9, (9 – 3) × 3 ≠ 15, so option A can be eliminated.
Option B: (6 – 3) × 3 = 9, (9 – 3) × 3 = 18, (18 – 3) × 3 = 45, our required answer is B.
Option C: (6 – 3) × 3 ≠ 12, so option C can be eliminated.
Option D: (6 – 3) × 3 = 9, (9 – 3) × 3 = 18, (18 – 3) × 3 ≠ 45, so option D can be eliminated.
Hence, the correct option is option(b).
In the question, we are required to find the correct pattern from the given options. The series starts with 6 and the follows the rule " subtract 3 and then multiply by 3 ". Hence, we need to analyze each option and see which option matches the rule given in the question.