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Find the fifth term in the binomial expansion of \((q + x)^7\).

Further Mathematics
WAEC 2023

Find the fifth term in the binomial expansion of \((q + x)^7\).

  • A. \(21q^2x^5\)
  • B. \(21q^4x^3\)
  • C. \(35q^3x^4\)
  • D. \(35q^5x^2\)
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Correct Answer: Option C
Explanation

rth term of a binomial expansion = \(^nC_r - _1a^{n - (r - 1)} b^{r - 1}\)

n = 7, r = 5 ∴ r - 1 = 4

5th term = \(^7C_4 q^{7 - 4} x^4\)

= \(^7C_4 q^3x^4\)

\(\therefore 35q^3x^4\)


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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995