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  • Which of the following form an AP? Justify your answer. 0, 2, 0, 2, ...

Which of the following form an AP? Justify your answer. 0, 2, 0, 2, ...

Answers (1)

Answer.          [No]

Solution.        

\text{The given series is } 0, 2, 0, 2, \ldots \\ \text{ where } a_1 = 0, \quad a_2 = 2, \quad a_3 = 0, \quad a_4 = 2 \\ a_2 - a_1 = 2 - 0 = 2 \\ a_3 - a_2 = 0 - 2 = -2 \\ a_4 - a_3 = 2 - 0 = 2 \\

Here the difference successive term is not same. Hence it is not an AP.

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