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Question 4 (xiv)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(xiv) 12,32,52,72,

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Solution

If the difference between any two consecutive terms of a series is a constant value, then the series is an A.P.

Given, the series is :
12,32,52,72,
Or, 1,9,25,49....
Here,
a2a1=91=8a3a2=259=16a4a3=4925=24

Note that the difference between any two consecutive terms of the series is not a constant value.
Hence, the given series is not an AP.


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