JAMB Mathematics 2013 Question 20

Question 20

Progressions

The nth term of the progression 4/2, 7/3, 10/4, 13/5, ... is

  1. A.(3n + 1)/(n − 1)
  2. B.(3n + 1)/(n + 1)
  3. C.(1 − 3n)/(n + 1)
  4. D.(3n + 1)/(n + 1)
Show the answer and explanation

Answer: D ((3n + 1)/(n + 1))

Explanation

The numerators 4, 7, 10, 13 are 3n + 1 and the denominators 2, 3, 4, 5 are n + 1, so the nth term is (3n + 1)/(n + 1).