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Question
Write the next term for the AP` sqrt( 8), sqrt(18), sqrt(32),.........`
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Solution
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) `
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