The arithmetic mean of the series \( 1,3,3^{2}, \ldots \ldots 3^{\mathrm{n}-1} \) is a. \( \frac...

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The arithmetic mean of the series \( 1,3,3^{2}, \ldots \ldots 3^{\mathrm{n}-1} \) is
a. \( \frac{3^{n}}{2 n} \)
b. \( \frac{3^{\mathrm{n}}-1}{2 \mathrm{n}} \)
c. \( \frac{3^{\mathrm{n}-1}}{\mathrm{n}+1} \)
d. \( \frac{3^{2 n}-1}{n+1} \)
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