2.13: Binomial independent term and find $n$

0606/23/M/J/20 — Question 9 · 8 marks · Binomial

DO NOT USE A CALCULATOR IN THIS QUESTION.

(a)

Find the term independent of

x

in the binomial expansion of

\left(3x - \tfrac{1}{x}\right)^{6}

[2]

(b)

In the expansion of

\left(1 + \tfrac{x}{2}\right)^{n}

the coefficient of

x^{4}

is half the coefficient of

x^{6}

. Find the value of the positive constant

n

[6]

2.13: Binomial independent term and find nnn