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WAEC Further Mathematics 2018 Question 17

Question 17

Sequences and Series

The first term of a Geometric Progression (G.P.) is ¾. If the product of the second and third terms of the sequence is 972, find its common ratio.

  1. A.3
  2. B.4
  3. C.6
  4. D.12
Show the answer and explanation

Answer: D (12)

Explanation

ar × ar² = a²r³ = (9/16)r³ = 972, so r³ = 1728 and r = 12.