Question

Find the next term of the A.P. $\sqrt{8},\sqrt{18},\sqrt{32}.......$

Answer 1

Given the series $A.P$

$\sqrt{8},\sqrt{18},\sqrt{32}.........$

We can write this series

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

and the we saw same difference hence the

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

Next term depend same difference and whose differece is $\sqrt{2}$

than

$2\sqrt{2},3\sqrt{2},4\sqrt{2},5\sqrt{2}$

We can write

$\sqrt{8},\sqrt{18},\sqrt{32},\sqrt{50}$

[The next term is $\sqrt{50}$]