Prove the following by the principle of mathematical induction: $1 + 3 + 3^{2} + + 3^{n - 1} = \frac{3 ^{n} - 1}{2}$

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Prove the following by the principle of mathematical induction:

1 + 3 + 3^{2} + + 3^{n - 1} = \frac{3 ^{n} - 1}{2}

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Prove the following by the principle of mathematical induction:

1 + 3 + 3^{2} + + 3^{n - 1} = \frac{3 ^{n} - 1}{2}

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