ntFind the value of determinant 1 3 9 27n nt 3 9 27 1n nt 9 27 1 3n nt 27 1 3 9n

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∣ ∣ ∣ ∣ \begin{matrix} 1 & 3 & 9 3 & 9 & 27 9 & 27 & 1 \end{matrix} ∣ ∣ ∣ ∣

\frac{9^{n} \times 3^{2} \times 3^{n} - (27)^{n}}{(3^{3})^{5} \times 2^{3}} = \frac{1}{27}

\frac{3 \times 27^{n - 1} + 9 \times 3^{3 n - 1}}{8 \times 3^{3 n} - 5 \times 27^{n}}

\frac{3 \times 27^{n + 1} + 9 \times 3^{3 n - 1}}{8 \times 3^{3 n} - 5 \times 27^{n}}

\frac{3 \times 27^{n + 1} + 9 \times 3^{3 n - 1}}{8 \times 3^{3 n} - 5 \times 27^{n}}

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