Edexcel AEA 2013 June — Question 1

Exam BoardEdexcel
ModuleAEA (Advanced Extension Award)
Year2013
SessionJune
TopicGeneralised Binomial Theorem
TypeFinding unknown power and constant

1.In the binomial expansion of $$\left( 1 + \frac { 12 n } { 5 } x \right) ^ { n }$$ the coefficients of \(x ^ { 2 }\) and \(x ^ { 3 }\) are equal and non-zero.
(a)Find the possible values of \(n\) .
(4)
(b)State,giving a reason,which value of \(n\) gives a valid expansion when \(x = \frac { 1 } { 2 }\)
(2)