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Question 4 (ii)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(ii) 2,52,3,72,


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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 :
2,52,3,72
Here,
a2a1=522=12a3a2=352=12a4a3=723=12

Note that the difference between any two consecutive terms of the series is a constant value.
Therefore, d=12 and the given numbers are in A.P.
The next three terms are:
a5=72+12=4a6=4+12=92a7=92+12=5


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