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AnilSinghBora
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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.(ii) 2, 5/2, 3, 7/2 …. Q.4(2)

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How i solve the question of arithmetic progressions of ncert of class 10th of exercise 5.1. I don’t know how to solve this problem so please help me sir for solving the problem Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.(ii) 2, 5/2, 3, 7/2 ….

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  1. Here,

    a2 – a1 = 5/2-2 = 1/2

    a3 – a2 = 3-5/2 = 1/2

    a4 – a3 = 7/2-3 = 1/2

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

    Therefore, d = 1/2 and the given series are in A.P.

    The next three terms are;

    a5 = 7/2+1/2 = 4

    a6 = 4 +1/2 = 9/2

    a7 = 9/2 +1/2 = 5

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