Edexcel AEA 2002 June — Question 2

Exam BoardEdexcel
ModuleAEA (Advanced Extension Award)
Year2002
SessionJune
TopicGeneralised Binomial Theorem
TypeCoefficient comparison between expansions

2.In the binomial expansion of $$( 1 - 4 x ) ^ { p } , \quad | x | < \frac { 1 } { 4 }$$ the coefficient of \(x ^ { 2 }\) is equal to the coefficient of \(x ^ { 4 }\) and the coefficient of \(x ^ { 3 }\) is positive.
Find the value of \(p\) .