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Find the sum of the series \(1 + 1/3 + 1/9 + 1/27 + ...\) to infinity.

  • A.2
  • B.3/2
  • C.4/3
  • D.5/3

Answer: B

An infinite geometric series with \( |r| < 1 \) sums to

\[ S = \frac{a}{1-r} = \frac{1}{1 - 1/3} = \frac{1}{2/3} = \frac{3}{2} \]

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