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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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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Or 1, 25, 49, 73 …
Here,
a2 − a1 = 25−1 = 24
a3 − a2 = 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
a7 = 121+24 = 145