The sum of the first 10 terms of an A.P. is 200 and the sum of the
15 terms is 375. Find the sum of the first 20 terms.
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10/2 * (2a + (10-1)d) = 200
5(2a + 9d) = 200
2a + 9d = 40 .........(i)
15/2 * (2a + (15-1)d) = 375
2a + 14d = 50 ..........(ii)
(ii) - (i)
5d = 10
d=2
putting d=2 in (i)
2a + 18 = 40
a = 11
sum of 20 terms = 20/2 * (2*11 + 19*2)
= 10 * (22+38) = 600
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