Final answer:
The third term in the sequence defined by d(1) = 3 and B(n) = d(n-1) - 14 is -25, which is obtained by following the sequence rules to calculate each term.
Step-by-step explanation:
The student is asking to find the third term in the sequence defined by d(1) = 3 and B(n) = d(n-1) - 14. To find the third term, we must first find the second term. Starting with the provided first term, we apply the function B(n) to calculate subsequent terms.
- d(1) = 3
- d(2) = B(2) = d(1) - 14 = 3 - 14 = -11
- d(3) = B(3) = d(2) - 14 = -11 - 14 = -25
Therefore, the third term in the sequence is -25.