To find the value of b based on the sequences provided for a and b, we can analyze both sequences. The values of a are given as 2, 5, 8, 11, and 14. Observing this sequence, we see that it increases by 3 each time. Thus, it represents an arithmetic progression where:
- The first term (a1) = 2
- The common difference (d) = 3
The formula for the nth term of an arithmetic sequence is:
an = a1 + (n – 1)d
For the sequence of b, we have 1, 3, 5, and 7. Similar to sequence a, sequence b also follows an arithmetic progression, where:
- The first term (b1) = 1
- The common difference (d) = 2
Applying the same formula, we can also find any term in the sequence of b. If there’s a specific question about finding a particular term or relationship between a and b, please clarify. However, based on the sequences, we can summarize that:
The series of a starts at 2 and increases by 3, while b starts at 1 and increases by 2.