Which of the following list of numbers form A.R's? If they form an A.P., find the common difference d and also write its next three terms.
We have,
a2 – a1 = √12 - √3 = 2√3 - √3 = √3
a3 – a2 = √48 - √12 = 4√3 - 2√3 = 2√3
a4 – a3 = √192 - √48 = 8√3 - 4√3 = 4√3
i.e. ak+1 – ak is not same every time.
So, the given list of numbers do not form an AP.
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