Correct Answer: Option C

Explanation

\(\frac{3^n - 3^{n - 1}}{3^3 \times 3^n - 27 \times 3^{n - 1}}\) = \(\frac{3^n - 3^{n - 1}}{3^3(3^n - 3^{n - 1})}\)

= \(\frac{3^n - 3^{n - 1}}{27(3^n - 3^{n - 1})}\)

= \(\frac{1}{27}\)

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