Consider the expansion of .

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Consider the expansion of

(3x^{2}-\dfrac{2}{x})^{9}

. (i) Write the general term

T_{r+1}

of the expansion. (ii) Determine the value of

r

for which

T_{r+1}

is independent of

x

. (iii) Hence find the independent term and its numerical coefficient.