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Which of the following are APs ? If they form an AP, find the common difference d and write three more terms. a, a², a³, a⁴, . . .

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How can find the common difference d and how write three more terms of this sequence. How to proved the difference between any two consecutive terms in an arithmetic. How to use effectively subtracting the value
10th Maths, CBSE Board Session 2022-2023.

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1 Answer

  1. a, a², a³, a⁴, . . .
    a₂ – a₁ = a² – a
    a₃ – a₂ = a³ – a²
    a₄ – a₃ = a⁴ – a³
    The difference between the successive terms are not same Hence, it is not an A.P.

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