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WAEC Further Mathematics 2008 Question 5

Question 5

Sequences and Series

The sum of the first n terms of a linear sequence is Sn = n2 + 2n. Determine the general term of the sequence.

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

Answer: B (2n + 1)

Explanation

First term 3, common difference 2, so Tn = 3 + (n − 1)2 = 2n + 1.