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UI Post-UTME Mathematics 2014 Question 24

Question 24

Progressions

What is the value of p if p − 3, p − 1, p are three consecutive terms of a Geometric progression?

  1. A.6
  2. B.−2
  3. C.−1
  4. D.1
Show the answer and explanation

Answer: C (−1)

Explanation

(p − 1)² = p(p − 3) gives −2p + 1 = −3p, so p = −1 (terms −4, −2, −1).