Series Structured Questions | Cambridge IGCSE Additional Mathematics

Question 1 of 5 · 10 marks

Series · 2 - General Term Super Question

4 parts

Additional Mathematics 0606 · Question 1Paper 2 · Calculator[10 marks]

Consider the binomial expansion of $\left(2x^2 - \frac{k}{x}\right)^9$ , where $k$ is a positive constant.

(a)

Find, in terms of $k$ , the term independent of $x$ .

[3]

(b)

Given that the term independent of $x$ is $672$ , find the exact value of $k$ .

[2]

(c)

For this value of $k$ , find the coefficient of $x^6$ in the expansion.

[3]

(d)

Explain why there is no term containing $x^4$ in this expansion.

[2]