Edexcel C12 2015 January — Question 4

Exam BoardEdexcel
ModuleC12 (Core Mathematics 1 & 2)
Year2015
SessionJanuary
TopicBinomial Theorem (positive integer n)
TypeNumerical approximation using expansion

  1. (a) Find the first 4 terms in ascending powers of \(x\) of the binomial expansion of
$$\left( 2 + \frac { x } { 4 } \right) ^ { 10 }$$ giving each term in its simplest form.
(b) Use your expansion to find an estimated value for \(2.025 ^ { 10 }\), stating the value of \(x\) which you have used and showing your working.