The arithmetic mean of the numbers \( 1,3,3^{2}, \ldots \),
\( \mat...
The arithmetic mean of the numbers \( 1,3,3^{2}, \ldots \),
\( \mathrm{P} \) \( 3^{n-1} \), is
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(1) \( \frac{3^{n}-1}{2} \)
(2) \( \frac{3^{n}-1}{2 n} \)
(3) \( \frac{3^{n}+1}{2} \)
(4) \( \frac{3^{n}+1}{2 n} \)
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