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WAEC Further Mathematics 2026 Question 14

Question 14

Sequences and Series

Given that the first term of an exponential sequence (G.P.) is (√3 − 2) and the second term is (7 − 4√3), find the common ratio.

  1. A.√3 + 2
  2. B.√2 − 1
  3. C.3 − 2√2
  4. D.√3 − 2
Show the answer and explanation

Answer: D (√3 − 2)

Explanation

r = (7 − 4√3)/(√3 − 2). Since (√3 − 2)² = 3 − 4√3 + 4 = 7 − 4√3, r = √3 − 2.