UI Post-UTME Mathematics 2023 (Model questions) Question 1

Question 1

Progressions

The sum of the first n terms of an A.P is given by Sn = 3n2 + 2n. What is the fifth term of the progression?

  1. A.56
  2. B.86
  3. C.29
  4. D.49
Show the answer and explanation

Answer: C (29)

Explanation

T₅ = S₅ − S₄ = (75 + 10) − (48 + 8) = 85 − 56 = 29.