Question 3 - A-Level Maths

Exam Board	SPS
Module	SPS SM Pure (SPS SM Pure)
Year	2023
Session	September
Marks	5
Topic	Binomial Theorem (positive integer n)
Type	Numerical approximation using expansion

Find the first three terms, in ascending powers of $x$, of the expansion of $$\left( 3 - \frac { x } { 2 } \right) ^ { 8 }$$ [3 marks]
Use your expansion to estimate the value of $2.995 ^ { 8 }$.
[0pt] [2 marks]