Question

Write the next term of the AP $\sqrt{8},\sqrt{18},\sqrt{32},....$.

Answer 1

Given AP is $\sqrt{8},\sqrt{18},\sqrt{32},.....$

Above AP can be written as:

$2\sqrt{2},3\sqrt{2},4\sqrt{2},....$

Here $a=2\sqrt{2}$ and $d=\sqrt{2}$

Next term $=4\sqrt{2}+\sqrt{2}=5\sqrt{2}=\sqrt{50}$.