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UI Post-UTME Mathematics 2025 (Model questions) Question 4

Question 4

Progressions

A geometric progression has first term 12 and third term 27. Find the common ratio

  1. A.3/2
  2. B.√(3/2)
  3. C.−3/2
  4. D.±3/2
Show the answer and explanation

Answer: D (±3/2)

Explanation

ar² = 27 with a = 12, so r² = 27/12 = 9/4 and r = ±3/2 (both signs give third term 27).