6.An arithmetic series is a series whose terms are given by the recurrence relation

6.An arithmetic series is a series whose terms are given by the recurrence relationT-T+d.where n -1.2.3….and d is a fixed number for the series called thecommon difference.Show.by induction.that the sum of the first N terms is given by∑T-2(+2(N-1)d.[15 pts]