Largest term in expansion of {(3 + 2x)^{50}} where x = frac{1}{5} is

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7.Binomial Theorem

hard

The largest term in the expansion of ${(3 + 2x)^{50}}$ where $x = \frac{1}{5}$ is

A

$5^{th}$

B

$51^{st}$

C

$7^{th}$

D

$6^{th}$

(IIT-1993)

Solution

(c) ${3^{50}}{\left( {1 + \frac{{2x}}{3}} \right)^{50}}$

$\therefore \,\,\,\frac{{{T_{r + 1}}}}{{{T_r}}} \ge 1\,\,\, \Rightarrow 102 – 2r \ge 15r \Rightarrow r \le 6$

Standard 11

Mathematics

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