UI Post-UTME Mathematics 2024 (Model questions) Question 11

Question 11

Progressions

The 5th term of an arithmetic progression is 20 and the 10th term is 40. What is the first term?

  1. A.5
  2. B.4
  3. C.2
  4. D.6
Show the answer and explanation

Answer: B (4)

Explanation

a + 4d = 20 and a + 9d = 40 give 5d = 20, d = 4, so a = 20 − 16 = 4.