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UI Post-UTME Mathematics 2018 (Model questions) Question 14

Question 14

Progressions

A sum of money is shared between the students so that the first gets ₦80, the next gets ₦105, the next, ₦130 and so on. How much does the tenth student get?

  1. A.₦280
  2. B.₦305
  3. C.₦350
  4. D.₦355
Show the answer and explanation

Answer: B (₦305)

Explanation

An AP with a = 80 and d = 25: T₁₀ = 80 + 9 × 25 = ₦305.