Question

find the next term of ap √2,√8,√18,√32

Answer 1

this the answer hope it helps you

Answer 2

Hey dear here is your answer!!!!!

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We have been given the series:-

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

We can re - write it as:-

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

The difference between the consecutive terms is:-

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

So, d = $\sqrt{2}$

Therefore, the next terms would be:-

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

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

= 5$\sqrt{2}$

= $\sqrt{50}$

So, the answer is $\sqrt{50}$ !

$\large\boxed{\large\boxed{\large\boxed{Solved !}}}}$

❣️⭐ Hope it helps you dear...⭐⭐❣️❣️