Q. 175.0( 3 Votes )

Show that the sum of an arithmetic series whose first term is a, second term b and the last is c is equal to

Answer :


First term = a

Common difference = (b–a)


Last term = c


c = a + (n–1)(b–a)


(n–1) = (c–a) / (b–a)


n = (b + c 2a) /( b – a)


Sum of terms =


Sum of terms =


Hence proved.


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