Question

Write the common difference of the AP: $\sqrt{3},2\sqrt{3},3\sqrt{3},\dots$

Answer 1

Write the common difference of the AP:

Here, the the AP is $\sqrt{3},2\sqrt{3},3\sqrt{3},\dots$.

$a_1=\sqrt{3},a_2=2\sqrt{3},a_3=3\sqrt{3}$.

Common difference of AP is,
$\begin{array}{rcl}& \Rightarrow & d=a_2-a_1\\ & =& 2\sqrt{3}-\sqrt{3}\\ & =& \sqrt{3}\end{array}$

Therefore, the common difference is $\sqrt{3}$.