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JAMB Mathematics 2001 Question 14

Question 14

Progressions

The sixth term of an arithmetical progression is half of its twelfth term. The first term is equal to

  1. A.half of the common difference
  2. B.double the common difference
  3. C.the common difference
  4. D.zero
Show the answer and explanation

Answer: C (the common difference)

Explanation

a + 5d = ½(a + 11d), so 2a + 10d = a + 11d, giving a = d.