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JAMB Mathematics 2003 Question 18

Question 18

Progressions

Three consecutive terms of a geometric progression are given as n − 2, n and n + 3. Find the common ratio.

  1. A.¼
  2. B.½
  3. C.2/3
  4. D.3/2
Show the answer and explanation

Answer: D (3/2)

Explanation

n2 = (n − 2)(n + 3) = n2 + n − 6, so n = 6. The terms are 4, 6, 9 and the ratio is 6/4 = 3/2.