Question 5 - A-Level Maths

Exam Board	AQA
Module	Paper 3 (Paper 3)
Session	Specimen
Topic	Generalised Binomial Theorem
Type	Direct single expansion substitution

Find the first three terms, in ascending powers of \(x\), in the binomial expansion of \(( 1 + 6 x ) ^ { \frac { 1 } { 3 } }\)
5
Use the result from part (a) to obtain an approximation to \(\sqrt [ 3 ] { 1.18 }\) giving your answer to 4 decimal places.
5
Explain why substituting \(x = \frac { 1 } { 2 }\) into your answer to part (a) does not lead to a valid approximation for \(\sqrt [ 3 ] { 4 }\).