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Question
Write the next two terms of the A.P.: `sqrt(27), sqrt(48), sqrt(75)`......
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Solution
Given A.P. is `sqrt(27), sqrt(48), sqrt(75)` ......
Here, a1 = `sqrt(27) = 3sqrt(3)`
a2 = `sqrt(48) = 4sqrt(3)`
∴ Common difference = `4sqrt(3) - 3sqrt(3)`
= `sqrt(3) (4 - 3) = sqrt(3)`
Now, Given a3 = `sqrt(75) = 5sqrt(3)`
∴ a4 = `6sqrt(3) = sqrt(108)`
And a5 = `7sqrt(3) = sqrt(147)`
Hence, next two terms are `sqrt(108)` and `sqrt(147)`.
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