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WAEC Further Mathematics 2023 Paper

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Question : 11

Total: 40

Find the fifth term in the binomial expansion of

(q + x)^7

.

$21q^2x^5$
$21q^4x^3$
$35q^3x^4$
$35q^5x^2$

Solution:

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

∴ 35q^3x^4

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