1. The problem asks for the explicit formula for the number of seats in the nth row of the auditorium, given the sequence: 26, 32, 38, 44, 50, ... 2. This is an arithmetic sequence where each term increases by a constant difference $d$. 3. The general formula for an arithmetic sequence is: $$f(n) = a + (n - 1)d$$ where $a$ is the first term and $d$ is the common difference. 4. Identify the first term $a$ and the common difference $d$ from the sequence: - First term $a = 26$ - Common difference $d = 32 - 26 = 6$ 5. Substitute these values into the formula: $$f(n) = 26 + (n - 1)6$$ 6. This formula can be used to find the number of seats in any row $n$. 7. Check the options given: - $f(n) = 0 + (n - 1)26$ (incorrect, wrong $a$ and $d$) - $f(n) = 6 + (n - 1)26$ (incorrect, wrong $a$ and $d$) - $f(n) = 26 + (n - 1)6$ (correct) - $f(n) = 32 + (n - 1)6$ (incorrect, wrong $a$) Final answer: $$f(n) = 26 + (n - 1)6$$