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WAEC Further Mathematics 2015 Question 11

Question 11

Sequences and Series

If 36, p, 9/4 and q are consecutive terms of an exponential sequence (G. P), find the sum of p and q.

  1. A.9/16
  2. B.81/16
  3. C.9
  4. D.9 9/16
Show the answer and explanation

Answer: D (9 9/16)

Explanation

r² = (9/4)/36 = 1/16, so r = ¼ (taking the positive ratio): p = 9 and q = 9/16. p + q = 9 9/16.