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JAMB Mathematics 2002 Question 25

Question 25

Progressions

The sum to infinity of the series 1 + 1/3 + 1/9 + 1/27 + … is

  1. A.11/3
  2. B.10/3
  3. C.5/2
  4. D.3/2
Show the answer and explanation

Answer: D (3/2)

Explanation

This is a G.P. with a = 1 and r = 1/3. Its sum to infinity is a/(1 − r) = 1 ÷ (2/3) = 3/2.