OCR C4 2016 June — Question 7

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2016
SessionJune
TopicGeneralised Binomial Theorem
TypeFinding unknown power and constant

7 Given that the binomial expansion of \(( 1 + k x ) ^ { n }\) is \(1 - 6 x + 30 x ^ { 2 } + \ldots\), find the values of \(n\) and \(k\). State the set of values of \(x\) for which this expansion is valid.