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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

This is an infinite G.P. with first term \(a=1\) and common ratio \(r = (1/3)/1 = 1/3\). The sum is \(S_\infty = \frac{a}{1-r} = \frac{1}{1-1/3} = \frac{1}{2/3} = 3/2\).

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