Value of the numerically greatest term in the expansion of $\sqrt{3} (1 + \frac{x}{\sqrt{3}})^{20}$ at x=1 is

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D

$\frac{(20 + 1) I α}{(1 + α)}$ where $α = \frac{1}{s q r t 3}$
$\frac{21}{\sqrt{3} + 1} = 7., T_{7 + 1} =^{20} C_{7} \frac{1}{27}$

Suggest Corrections

Similar questions

Value of the numerically greatest term in the expansion of $\sqrt{3} (1 + \frac{1}{\sqrt{3}})^{20}$ is

\sqrt{3} {(1 + \frac{1}{\sqrt{3}})}^{20}

{(3 - 5 x)}^{15}

x = \frac{1}{5} .

\sqrt{3} {(1 + \frac{1}{\sqrt{3}})}^{20}

(3 - 2 x)^{9}

x = 1

Join BYJU'S Learning Program