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WAEC Further Mathematics 2021 Question 7

Question 7

Binomial Theorem

Using binomial expansion of (1 + x)6 = 1 + 6x + 15x2 + 20x3 + 15x4 + 6x5 + x6, find, correct to three decimal places, the value of (1.998)6.

  1. A.63.616
  2. B.63.617
  3. C.62.628
  4. D.62.629
Show the answer and explanation

Answer: B (63.617)

Explanation

Put x = 0.998 and add the terms (or note 1.998⁶ = 64 × 0.999⁶): 63.61696…, which is 63.617 to three decimal places.