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JAMB Mathematics 2014 Question 19

Question 19

Progressions

The 4th term of an A.P. is 13 while the 10th term is 31. Find the 24th term.

  1. A.69
  2. B.89
  3. C.75
  4. D.73
Show the answer and explanation

Answer: D (73)

Explanation

a + 3d = 13 and a + 9d = 31, so 6d = 18, d = 3 and a = 4. The 24th term is a + 23d = 4 + 69 = 73.