Edexcel C12 2014 June — Question 8

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2014
SessionJune
TopicBinomial Theorem (positive integer n)
TypeFirst few terms given find parameters
8. Given that $$1 + 12 x + 70 x ^ { 2 } + \ldots$$ is the binomial expansion, in ascending powers of \(x\) of \(( 1 + b x ) ^ { n }\), where \(n \in \mathbb { N }\) and \(b\) is a constant,
  1. show that \(n b = 12\)
  2. find the values of the constants \(b\) and \(n\).
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