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WAEC Mathematics 1995 Question 8

Question 8

Progressions

If 16/9, x, 1, y are in Geometric Progression (G.P.), find the product of x and y.

  1. A.9/16
  2. B.3/4
  3. C.1
  4. D.4/3
  5. E.16/6
Show the answer and explanation

Answer: C (1)

Explanation

1 is the third term: 16/9 × r² = 1 gives r = 3/4. Then x = 16/9 × 3/4 = 4/3 and y = 1 × 3/4 = 3/4, so xy = 1.