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Question
Write the next term of the AP `sqrt(2) , sqrt(8) , sqrt(18),.........`
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Solution
The given AP is `sqrt(2) , sqrt(8) , sqrt(18) ,................`
On simplifying the terms, we get:
`sqrt (2) , 2 sqrt(2) , 3 sqrt(2) ,..................`
`Here , a= sqrt(2) and d = ( 2 sqrt(2) - sqrt(2)) = sqrt(2)`
∴ Next term `T_4 = a + 3d = sqrt(2) + 3 sqrt(2) = 4 sqrt(2) = sqrt(32)`
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