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.
a, a2, a3, a4, …..
We have,
a2 – a1 = a2 – a = a (a – 1)
a3 – a2 = a3 – a2 = a2(a – 1)
a4 – a3 = a4 – a3 = a3(a – 1)
i.e. ak+1 – ak is not same every time.
So, the given list of numbers does not form an AP.
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