Consider the expansion of

MATHEMATICS · Subjective · CBSE · Mathematics · Binomial Theorem · Binomial Theorem

Problem

(2x-3)^{15}

. (a) Write down the general term

T_{r+1}

of the expansion. (b) Obtain the expression for the ratio

\dfrac{T_{r+1}}{T_r}

in terms of

r

when

x=1

. (c) Determine all integer values of

r

for which

|T_{r+1}|>|T_r|

when

x=1

. (d) Hence find the term of greatest absolute value in the expansion when

x=1

, and state its coefficient.