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WAEC Further Mathematics 2008 Question 4

Question 4

Sequences and Series

The sum of the first n terms of a linear sequence is Sn = n2 + 2n. Find the common difference of the sequence.

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

Answer: D (2)

Explanation

T1 = S1 = 3 and S2 = 8, so T2 = 5. The common difference is 5 − 3 = 2.