Q6 of 176 Page 9

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.

12, 32, 52, 72, …

We have,


a2 – a1 = 32 – (1)2 = 9 – 1 = 8


a3 – a2 = 52 – (3)2 = 25 – 9 = 16


a4 – a3 = 72 – (5)2 = 49 – 25 =24


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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