Question

Find the next two terms of the A.P.$\sqrt{2},\sqrt{8},\sqrt{18}---.$

Answer 1

We have,

$\sqrt{2},\sqrt{8},\sqrt{18}.......$

Frist term $a=\sqrt{2}$

Common difference

$d=\sqrt{8}-\sqrt{2}$

$d=2\sqrt{2}-\sqrt{2}$

$d=\sqrt{2}$

Next two term

$T_4=?$

$T_5=?$

We know that,

$T_4=a+3d=\sqrt{2}+3\sqrt{2}=4\sqrt{2}=\sqrt{32}$

$T_5=a+4d=\sqrt{2}+4\sqrt{2}=5\sqrt{2}=\sqrt{64}$

Hence, this is the answer.