Question

Samantar shreni √2,√8,√18........…..Ka agla pad hoga​

Answer 1

Answer:

I hope you understand. Thanks.

Answer 2

The next sequence of AP is $4\sqrt{2}.$  

Step-by-step explanation:

The given arithmetic progression(AP) are:

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

To fnd, the next term of an AP =

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

or, $\sqrt{2},\sqrt{4\times 2},\sqrt{9\times 2},.......$

or, $\sqrt{2},2\sqrt{2},3\sqrt{2},.......$

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

Common difference (d) = Second term - First term

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

∴ The next sequence = Previous sequence + Common difference(d)

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

$=4\sqrt{2}$

Hence, the next sequence of AP is $4\sqrt{2}.$