Let be a positive integer

MATHEMATICS · Multi-part · CBSE · Mathematics · Binomial Theorem · Binomial Theorem

Problem

Let

n

be a positive integer. The expression

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

is expanded in ascending powers of

x

. (i) Write the general term

T_{r+1}

of the expansion in terms of

n

and

r

. (ii) Show that the power of

x

T_{r+1}

2n-3r

. (iii) For

n=8

, determine all integral values of

r

for which the term is independent of

x