WAEC Further Mathematics 2020 Question 23

Question 23

Sequences and Series

Find the nth term of the linear sequence (A.P) (5y + 1), (2y + 1), (1 − y), …

  1. A.(8 + 3n)y + 1
  2. B.8y + 3n + 1
  3. C.(8 − 3n)y + 1
  4. D.8y − 3n + 1
Show the answer and explanation

Answer: C ((8 − 3n)y + 1)

Explanation

d = (2y + 1) − (5y + 1) = −3y. Tₙ = 5y + 1 + (n − 1)(−3y) = (8 − 3n)y + 1.