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WAEC Further Mathematics 2025 Objective — Question 16

Question 16 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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Find the coefficient of the 6th term in ascending powers of x in the binomial expansion of (1 - 3x/4)^9.

  • A. -15309/512Correct
  • B. -15309/256
  • C. -5103/512
  • D. -5103/256

Explanation

The 6th term (r=5) is C(9,5)(1)^4(-3x/4)^5 = 126 × (-243/1024) x^5 = -30618/1024 x^5 = -15309/512 x^5.

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