Edexcel C2 2009 June — Question 2

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2009
SessionJune
TopicBinomial Theorem (positive integer n)
TypeCoefficient relationship between terms

2. (a) Find the first 3 terms, in ascending powers of \(x\), of the binomial expansion of $$( 2 + k x ) ^ { 7 }$$ where \(k\) is a constant. Give each term in its simplest form. Given that the coefficient of \(x ^ { 2 }\) is 6 times the coefficient of \(x\),
(b) find the value of \(k\).