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

Given: A.P. $\sqrt{8},\ \sqrt{18},\ \sqrt{32},\ ........$.

To do: To find the next term of the A.P.

Solution: 

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

$\sqrt{18}=3\sqrt{2}$

$\sqrt{32} =4\sqrt{2}$

Common difference $= 4\sqrt{2} - 3\sqrt{2}=\sqrt{2}$

Next term $= 5\sqrt{2} = \sqrt{50}$

 

Updated on: 10-Oct-2022

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