To find the value of ‘b’ corresponding to the values in ‘a’, we first need to understand the sequences provided. The sequence ‘a’ consists of the numbers 3, 6, 9, 12, which represents a pattern that increments by 3. On the other hand, the sequence ‘b’ includes the numbers 2, 4, 6, 8, 10, 12, which increments by 2.
If we examine the sequences:
- The first sequence ‘a’ can be represented as:
- 3 (1st term)
- 6 (2nd term)
- 9 (3rd term)
- 12 (4th term)
- The second sequence ‘b’ can be represented as:
- 2 (1st term)
- 4 (2nd term)
- 6 (3rd term)
- 8 (4th term)
- 10 (5th term)
- 12 (6th term)
To relate these two sequences, we can observe that for every value of ‘a’, we can map it to a suitable value of ‘b’ based on their given positions:
- 1st value of ‘a’ (3) does not directly match with any value in ‘b’.
- 2nd value of ‘a’ (6) corresponds to the 3rd value in ‘b’ (6).
- 3rd value of ‘a’ (9) does not directly match with any value in ‘b’.
- 4th value of ‘a’ (12) corresponds to the 6th value in ‘b’ (12).
From this, we can calculate which values of ‘b’ correspond to specific values of ‘a’. Based on the direct correspondences:
- The value of ‘b’ at the index of ‘a’ (2nd term) is 6.
- The value of ‘b’ at the index of ‘a’ (4th term) is 12.
Hence, if we are trying to find ‘b’ corresponding to the values in ‘a’, we conclude that:
- For 6 in ‘a’, the corresponding ‘b’ is 6.
- For 12 in ‘a’, the corresponding ‘b’ is 12.
In conclusion, the values of ‘b’ that correspond to the given values in ‘a’ are 6 and 12.