OAU Post-UTME Mathematics 2023 Question 2

Question 2

Progressions

The 3rd and 6th terms of a Geometric Progression G.P. are 48 and 14 2/9 respectively. What is the first term of the G.P.?

  1. A.2/3
  2. B.48
  3. C.32
  4. D.108
Show the answer and explanation

Answer: D (108)

Explanation

ar5 ÷ ar2 = r3 = (128/9) ÷ 48 = 8/27, so r = 2/3. Then a = 48 ÷ (2/3)2 = 48 × 9/4 = 108.