Find the sum of the first $n$ terms and the sum of the first $5$ terms of the geometric series $1 + \frac{2}{3} + \frac{4}{9} + \dots$
- A$S_n = 3[1 - (\frac{2}{3})^n], S_5 = \frac{211}{81}$
- B$S_n = 3[1 - (\frac{2}{3})^n], S_5 = \frac{205}{81}$
- C$S_n = 2[1 - (\frac{2}{3})^n], S_5 = \frac{211}{81}$
- D$S_n = 3[1 - (\frac{3}{2})^n], S_5 = \frac{211}{81}$
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