Edexcel C12 2019 January — Question 5

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2019
SessionJanuary
TopicBinomial Theorem (positive integer n)
TypeNumerical approximation using expansion

  1. (a) Use the binomial theorem to find the first 4 terms, in ascending powers of \(x\), of the expansion of
$$\left( 1 - \frac { x } { 2 } \right) ^ { 8 }$$ Give each term in its simplest form.
(b) Use the answer to part (a) to find an approximate value to \(0.9 ^ { 8 }\) Write your answer in the form \(\frac { a } { b }\) where \(a\) and \(b\) are integers.