Question

write the next term of the AP root 2 , root 18..
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Answer 1

Here , first term a = √2 and second term a2 = √18 = 3√2
So common difference d = 3√2 - √2 = 2√2.
So third term a3
= a2 + d
= 3√2 + 2√2
= 5√2
= √50.

Answer 2

The next term of AP root 2 , root 18.. is root 50

Step-by-step explanation:

AP : √2 , √18 , ...

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

So, AP : √2 , 3√2 , ...

So, Common difference = $3\sqrt{2}-\sqrt{2}=2\sqrt{2}$

So, Next term = $3\sqrt{2}+2\sqrt{2}=5\sqrt{2}=\sqrt{50}$

Hence The next term of AP root 2 , root 18.. is root 50

#Learn more:

Write the next term of the AP root 2,root8,root 18,.................

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