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Show that the sequence defined by `a_n=2n^2+1` is not an A.P.

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asked May 23, 2017 in Arithmetic Progression by TanujKumar (71.2k points)
closed Sep 12, 2021 by TanujKumar

Show that the sequence defined by `a_n=2n^2+1` is not an A.P.

class-11
arithmetic-progressions

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answered May 23, 2017 by DevikaKumari (70.6k points)
selected May 23, 2017 by TanujKumar

Best answer

`a_n=2n^2+1`
`a_1=2+1=3`
`a_2=2*4+1=9`
`a_3=2*9+1=19`
`a_3-a_2=19-9-10`
`a_2-a_1=9-3=6`
`a_3-a_2!=a_2-a_1`.

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Show that the sequence defined by `a_n=2n^2+1` is not an A.P.

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