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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a_{2}–a_{1}= √6-√3 = √3×√2-√3 = √3(√2-1)a_{3}–a_{2}= √9-√6 = 3-√6 = √3(√3-√2)a_{4}–a_{3}= √12 – √9 = 2√3 – √3×√3 = √3(2-√3)Since,

a_{n}_{+1}–aor the common difference is not same every time._{n}Therefore, the given series doesn’t form a A.P.