SPS SPS FM 2024 October — Question 3

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2024
SessionOctober
TopicBinomial Theorem (positive integer n)
TypeProduct with unknown constant to determine

3. (i) Find and simplify the first three terms in the binomial expansion of \(( 2 + a x ) ^ { 6 }\) in ascending powers of \(x\).
(ii) In the expansion of \(( 3 - 5 x ) ( 2 + a x ) ^ { 6 }\), the coefficient of \(x\) is 64 . Find the value of \(a\).
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