WAEC Mathematics 1988 Question 38

Question 38

Progressions

Find the product xy if x, 3/2, 6/7, y are in G.P.

  1. A.24/49
  2. B.4/7
  3. C.9/7
  4. D.7/4
  5. E.21/8.
Show the answer and explanation

Answer: C (9/7)

Explanation

Common ratio r = (6/7) ÷ (3/2) = 4/7. Then x = (3/2) ÷ (4/7) = 21/8 and y = 6/7 × 4/7 = 24/49, so xy = 21/8 × 24/49 = 9/7.