The best way for solving the problem of arithmetic progressions of exercise 5.1 of class 10th math, How i solve in best and simple way Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.(xiii) √3, √6, √9, √12 …
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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.(xiii) √3, √6, √9, √12 … Q04(13)
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Here,
a2 – a1 = √6-√3 = √3×√2-√3 = √3(√2-1)
a3 – a2 = √9-√6 = 3-√6 = √3(√3-√2)
a4 – a3 = √12 – √9 = 2√3 – √3×√3 = √3(2-√3)
Since, an+1 – an or the common difference is not same every time.
Therefore, the given series doesn’t form a A.P.