Question

Find the next term of the series under root 2 under root 8 under root 18 under root 32

Answer 1

use following formula
Tn = a+(n-1)d

Answer 2

hello users ....

Given Ap :
√2,√8,√18,√32 .....

we have to find :
a5 (fifth term)  = ?

Solution:-
we can write given AP "√2,√8,√18,√32 ...."
 As
1√2 , 2√2 , 3√2 , 4√2 .........

Here,
(first term) a = 1√2
(common difference) d = a2 ( second term ) - a (first term) 
=> d = 2√2 - 1√2 = √2 

n = 5 

we know that:
An (nth term) = a + (n-1)d


Here, 
=> ( fifth term) a5 = √2 + (5 - 1) ×√2

=> a5 = √2 + 4√2 

=> a5 = 5√2 or √50  Answer 

Hope it helps :)