Question

Find the common diference for following ap root 2, root 8, root 18,root 32

Answer 1

Answer:

$\sqrt{2}$

Step-by-step explanation:

The given AP is  :-  $\sqrt{2},2 \sqrt{2},3\sqrt{2},4\sqrt{2},.......$

Here, first term, a = $\sqrt{2}$

And common difference, d = second term - first term

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

                                             = $\sqrt{2}$.