Multiple Choice Question: Find the sum of $$ 1 + 2\left( \dfrac{1}{3} \right) + 3\left( \dfrac{1}{3} \right)^2 + 4\left( \dfrac{1}{3} \right)^3 + \ldots + n\left( \dfrac{1}{3} \right)^{n - 1} + \dots $$

Find the sum of

$1 + 2\left( \dfrac{1}{3} \right) + 3\left( \dfrac{1}{3} \right)^2 + 4\left( \dfrac{1}{3} \right)^3 + \ldots + n\left( \dfrac{1}{3} \right)^{n - 1} + \dots$

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