Q3 of 67 Page 65

Check for an arithmetic progression in the following lists of numbers of any one of these as an arithmetic progression, then find its common difference and also write its next four terms—

Let the arithmetic progression be a1, a2, a3, a4 ……. So here
a2 – a1 = √6 - √3 = √3(√2) - √3 = √3(√2 - 1)
a3 – a2 = √9 - √6 = √3(√3) - √3(√2) = √3(√3 - √2)
a4 – a3 = √12 - √9 =√3(√4) - √3(√3) = √3(√4 - √3) = √3(2 - √3)


Here common difference in not same. So this sequence is not an arithmetic progression.


Hence, No.


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