If Sr denotes the sum of the first r terms of an A.P. Then, S3n: (S2n — Sn) is
S2n =
(2a + (2n–1) d)
Sn =
(2a + (n–1)d)
S3n =
(2a + (n–1)d)
S2n –Sn =
(2a + (2n–1) d) –
(2a + (n–1)d)
=
(2a + (n –1) d)
S3n: (S2n — Sn) =
(2a + (n–1)d) :
(2a + (n –1) d)
= 3
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