Question

If root 8 , root 18, root 32, are in A.P. Find the next term and the common difference

Answer 1

Hiii...

Common difference is ....
$\sqrt{18} - \sqrt{8}$
Next term is...
$\sqrt{8} + 3( \sqrt{18} - \sqrt{8} ) = \\ 3 \sqrt{18} - 2 \sqrt{8}$

Answer 2

hello users,..

Given that:
√8 , √18 ,√32 Are in AP

We have to find:
4th term of given AP. And common difference of AP. 

solution:-
we can write 
√8 , √18 ,√32 As 2√2 , 3√2 , 4√2  Are in AP

Here,
first term (a1) = 2√2 
second term (a2) = 3√2
third term (a3) = 4√2

now,
Common difference (d) = second term - first term = third term - second term   
= 4√2 - 3√2 = 3√2 - 2√2 = √2 

Now,
we know that:
An = a + (n-1)d 

Here,
fourth term (a4) = 2√2 + ( 4-1 ) √2

= 2√2 + 3√2 = 5√2 Answer 

# hope it helps :)