Question

Find the ${100}^{th}$ term of the sequence:
$\sqrt{3},2\sqrt{3},3\sqrt{3},.................$

Answer 1

$\sqrt{3},2\sqrt{3},3\sqrt{3},.........$

$a=\sqrt{3},d=2\sqrt{3}-\sqrt{3}=3\sqrt{3}-2\sqrt{3}=\sqrt{3}$

$T_n=a+(n-1)d$

$T_{100}=\sqrt{3}+(100-1)\sqrt{3}$

$=\sqrt{3}+99\sqrt{3}$

$=100\sqrt{3}$