WAEC Mathematics 1999 Question 3

Question 3

Progressions

It is observed that 1 + 3 = 22, 1 + 3 + 5 = 32, 1 + 3 + 5 + 7 = 42. If 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = p2, find P.

  1. A.6
  2. B.7
  3. C.8
  4. D.9
Show the answer and explanation

Answer: C (8)

Explanation

The sum of the first n odd numbers is n2. There are 8 odd numbers here, so p = 8.