Question

Write the next term of the AP `sqrt(8), sqrt(18), sqrt(32),`....

Answer 1

The given AP is ` sqrt( 8),  sqrt(18), sqrt(32),.........`

On simplifying the terms, we get:

`2 sqrt(2) , 3 sqrt(2) , 4 sqrt(2) .................`

Here, `a = 2 sqrt(2) and d = ( 3 sqrt(2) - 2 sqrt(2) ) = sqrt(2)`

∴ Next term ` T_4 = a + 3d = 2 sqrt(2) + 3 sqrt(2) = 5 sqrt(2) = sqrt(50) `