Q. 33.7( 3 Votes )

Find the sum of each arithmetic series

(i) 38 + 35 + 32 + … + 2. (ii) terms.

Answer :

(i) In the A.P.


First term = 38


Last term = 2


Common difference = 35–38 = –3


Nth term = a + (n–1) d


2 = 38 + (n–1)(–3)


–36 = (n–1)(–3)


12 = (n–1)


n = 13


Sum of terms =


Sum of terms =


Sum of terms =


Sum of terms = 260


(ii) In the A.P.


First term = 6


No. of terms = 25


Common difference = 21/4 – 6 = –3/4


Sum of terms =


Sum of terms =


Sum of terms =


Sum of terms = –75


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