CAIE P1 2024 June — Question 1

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2024
SessionJune
TopicBinomial Theorem (positive integer n)
TypeRatio of coefficients condition
1 The coefficient of \(x ^ { 2 }\) in the expansion of \(( 1 - 4 x ) ^ { 6 }\) is 12 times the coefficient of \(x ^ { 2 }\) in the expansion of \(( 2 + a x ) ^ { 5 }\). Find the value of the positive constant \(a\).
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