Question

writ the next two terms of the AP √2,√8,√18​

Answer 1

4√2 and 5√2

Step-by-step explanation:

Given, the AP: √2, √8, √18

Here, √8 can be wtitten as 2√2 and √18 can be written as 3√2

So the AP: √2, 2√2, 3√2

Here, common difference (d)=2√2-√2= 1√2

So, term after 3√2 =3√2+1√2=4√2

Term after 4√2=4√2+2√2=5√2

Hence, now the AP is as follows:

√2, 2√2, 3√2, 4√2, 5√2.....

The two new terms being 4√2 and 5√2.

Hope you found it useful and easy to understand.