AQA AS Paper 2 2018 June — Question 10

Exam BoardAQA
ModuleAS Paper 2 (AS Paper 2)
Year2018
SessionJune
TopicBinomial Theorem (positive integer n)
TypeRatio of coefficients condition

10 In the binomial expansion of \(( 1 + x ) ^ { n }\), where \(n \geq 4\), the coefficient of \(x ^ { 4 }\) is \(1 \frac { 1 } { 2 }\) times the sum of the coefficients of \(x ^ { 2 }\) and \(x ^ { 3 }\) Find the value of \(n\).