- (a) Write down the first four terms of the binomial expansion, in ascending powers of \(x\), of \(( 1 + 3 x ) ^ { n }\), where \(n > 2\).
Given that the coefficient of \(x ^ { 3 }\) in this expansion is ten times the coefficient of \(x ^ { 2 }\),
(b) find the value of \(n\),
(c) find the coefficient of \(x ^ { 4 }\) in the expansion.