JAMB Mathematics 2000 Question 13

Question 13

Progressions

The 3rd term of an A.P. is 4x − 2y and the 9th term is 10x − 8y. Find the common difference.

  1. A.19x − 17y
  2. B.8x − 4y
  3. C.x − y
  4. D.2x
Show the answer and explanation

Answer: C (x − y)

Explanation

The 9th term minus the 3rd term is 6d. So 6d = (10x − 8y) − (4x − 2y) = 6x − 6y, giving d = x − y.