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Binomial Theorem · Paper 2 — Free Maths AA SL Practice Questions

1MasterySAQ-SBinomial expansion and coefficientss6 marksPaper 2~9 min
In the expansion of (2x+k)7(2x + k)^7, where k∈Z+k \in \mathbb{Z}^+, the coefficient of the x3x^3 term is 22 68022\,680.
(a)
Calculate the value of kk. [4 marks]
(b)
Hence, determine the coefficient of the x4x^4 term in the expansion of (2x+k)7(2x + k)^7. Binomial theorem: (a+b)n=∑r=0n(nr)an−rbr(a+b)^n = \displaystyle\sum_{r=0}^{n} \binom{n}{r} a^{n-r} b^r [2 marks]
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