What is the best way to solve the problem of arithmetic progressions of exercise of 5.1 of class 10th math, How i solve this problem 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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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 … Q.4(14)
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Or, 1, 9, 25, 49 …..
Here,
a2 − a1 = 9−1 = 8
a3 − a2 = 25−9 = 16
a4 − a3 = 49−25 = 24
Since, an+1 – an or the common difference is not same every time.
Therefore, the given series doesn’t form a A.P.