The next term of the A.P. √18, √50 ,√98, ….. is ? (CBSE 2012)

The AP can be written as:

3√2 , 5√2 , 7√2, …..

First term, a = √2

d = 2√2

We know,

a_n= a_n-1 + d

So next term is:

√98 + 2√2 = 7√2 + 2√2

= 9√2

= √162