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JAMB Mathematics 2007 Question 24

Question 24

Progressions

The nth term of the sequence ___, 3, 7, 16, 35, 74, ... is

  1. A.5.2n−2 − n
  2. B.5.2n−2 − (n + 1)/2
  3. C.3.2n−2
  4. D.3n/2
Show the answer and explanation

Answer: A (5.2n−2 − n)

Explanation

Check 5 × 2n−2 − n: n = 2 gives 3, n = 3 gives 7, n = 4 gives 16, n = 5 gives 35 and n = 6 gives 74.