To complete the recursive formula for the arithmetic sequence you've provided (12, 10, 8, 6, ...), we first identify the first term and the common difference.
- The first term \( b(1) \) is 12.
- The common difference can be calculated from the first two terms:
- \( 10 - 12 = -2 \)
Thus, every term is obtained by subtracting 2 from the previous term.
We can now write the recursive formula:
- \( b(1) = 12 \)
- \( b(n) = b(n - 1) - 2 \) for \( n > 1 \)
This completes the recursive formula for the sequence.