Mathematics Binomial Theorem Binomial Expansion

Value of \( \sum_{k=1}^{\infty} \sum_{r=0}^k \frac{1}{3^k}\left({ }^k \mathrm{C}_r\right)\) is

1
\( \frac{2}{3}\)
2
\( \frac{4}{3} \)
3
2
4
1

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