To find the value of b associated with the given values of a, we need to analyze the sequences provided.
The values of a are 3, 6, 9, and 12. These values appear to be part of a sequence where each term is a multiple of 3:
- 3 = 3 × 1
- 6 = 3 × 2
- 9 = 3 × 3
- 12 = 3 × 4
Now, let’s look at the set of values for b which are 2, 4, 6, 8, 10, and 12. This sequence represents the even numbers starting from 2 up to 12:
- 2 = 2 × 1
- 4 = 2 × 2
- 6 = 2 × 3
- 8 = 2 × 4
- 10 = 2 × 5
- 12 = 2 × 6
To construct a relationship between the values of a and b, we can recognize that for each integer n:
- When a = 3n, b = 2n + 0 (for n = 1, 2, 3, 4)
Thus, we can pair the values:
For a = 3, b = 2
For a = 6, b = 4
For a = 9, b = 6
For a = 12, b = 8 (8 is not generated by this formula but matches)
12 can also link with 10 or 12 from the list.
Overall, the connection between a and b is evident through their increments by respective sequences. We can extract the values of b that correspond to each a provided.