The sum of first n terms of a certain series is given as 2n^2-3n. Show that the series is an A.P.

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If (s)n, the sum of first n terms of an A.P., is given by sn=5n2+3n, then find its nth term... If (s)n, the sum of first n terms of an A.P., is given by sn=5n2+3n, then find its nth term...
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Let the sum of n,2n,3n terms of an A.P. be S1,S2 and S3 respectively. Show that S3=3(s2-s1) Let the sum of n,2n,3n terms of an A.P. be S1,S2 and S3 respectively. Show that S3=3(s2-s1)
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Given sum of the first `n `terms of an `A. P.` is `2n +3n^2`. Another `A. P.` is formed with th... Given sum of the first `n `terms of an `A. P.` is `2n +3n^2`. Another `A. P.` is formed with th...