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Question
Which of the following lists of numbers form an A.P.? If they form an A.P., find the common difference d and write the next three terms : `sqrt(3), sqrt(6), sqrt(9), sqrt(12)`,...
Solution
`sqrt(3), sqrt(6), sqrt(9), sqrt(12)`,...
Here, a = `sqrt(3)`
d = `sqrt(6) - sqrt(3)`
= `sqrt(3) xx sqrt(2) - sqrt(3)`
= `sqrt(3)(sqrt(2) - 1)`
= `sqrt(9) - sqrt(6)`
= `3 - sqrt(2) sqrt(3)`
= `sqrt(3)(sqrt(3) - sqrt(2))`
∵ Common difference is not same.
∵ It is not an A.P.
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