the next term of the AP √48,√75,√147,..... is<br /><br />
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√48 , √75 , √147 ,...
According to the question they are in AP
We can also write them like this:-
√3 x 4 x 4 , √3 x 5 x 5 , √3 x 7 x 7 ,...
So
4√3 , 5√3 , 7√3 ,...
Here , a1 = 4√3 , a2 = 5√3 and a3 = 7√3
Hence , Common Difference ( d ) = a2 - a1
=> 5√3 - 4√3
=> √3(5-4)
=> √3 x 1 = √3
But , when we calculate the Common Difference with the terms a3 and a2 , we have :-
=>7√3 - 5√3
=>√3(7-5)
=>√3(2)
=>2√3
Which is not possible for an AP
I might think that you had mistaken your question
The question should include √108 not √147
By it can form an AP
then the next term will be √147.
Hope it helped you...
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