Edexcel C4 2016 June — Question 1

Exam BoardEdexcel
ModuleC4 (Core Mathematics 4)
Year2016
SessionJune
TopicGeneralised Binomial Theorem
TypeSeries expansion of rational function

  1. Use the binomial series to find the expansion of
$$\frac { 1 } { ( 2 + 5 x ) ^ { 3 } } , \quad | x | < \frac { 2 } { 5 }$$ in ascending powers of \(x\), up to and including the term in \(x ^ { 3 }\).
Give each coefficient as a fraction in its simplest form.
(6)