Question

square root 2,square root 8,square root 18 ,square root 32 ,find the common difference d and write 3 more terms​

Answer 1

$\sqrt{2} , \sqrt{8}, \sqrt{18},\sqrt{32}$

This can be written as:

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

Here, this is a sequence in arithmetic progression with common difference $\sqrt{2}$ and first term $\sqrt{2}$.

The next 3 terms are $5\sqrt{2} , 6\sqrt{2} ,7\sqrt{2}$ ⇒ $\sqrt{50} , \sqrt{72} , \sqrt{98}$

The next 3 terms are $\sqrt{50} ,\sqrt{72} ,\sqrt{98}$.