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# Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.(xv) 12, 52, 72, 73 … Q.4(15)

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In ncert class 10th of arithmetic progressions of exercise 5.1 How i solve this question in easy way because it is very important question for class 10th Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.(xv) 12, 52, 72, 73 …

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1. Or 1, 25, 49, 73 …

Here,

a2 − a1 = 25−1 = 24

a3 − a= 49−25 = 24

a4 − a3 = 73−49 = 24

Since, an+1 – an or the common difference is same every time.

Therefore, d = 24 and the given series forms a A.P.

Hence, next three terms are;

a5 = 73+24 = 97

a6 = 97+24 = 121

a= 121+24 = 145

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