Answer :

For a series to be in AP, the common difference (d) should be

Equal.

D_{1} = second term – first term = a^{2} - a = a^{2} - a

D_{2} = Third term - Second term = a^{3} - a^{2} = a^{3} - a^{2}

Since common difference is not equal the above series is not in AP

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