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WAEC Further Mathematics 2014 Question 8

Question 8

Binomial Theorem

Using the binomial expansion (1 + x)6 = 1 + 6x + 15x2 + 20x3 + 15x4 + 6x5 + x6, find, correct to three decimal places, the value of (1.98)6.

  1. A.64.245
  2. B.61.255
  3. C.60.255
  4. D.60.245
Show the answer and explanation

Answer: C (60.255)

Explanation

Put x = 0.98: 1 + 5.88 + 14.406 + 18.824 + 13.836 + 5.424 + 0.886 = 60.255 (to 3 d.p.).