if S1, S2, S3 are the sums of n terms of 3 A.P.s whose first terms are same common differences are in A.P., then prove that S1,S2,S3 are also in A.P.
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Sum of n terms of three A.P. are S
1
,S
2
,S
3
respectively. If first term of each progression is 1 and common differences are 1,2,3 respectively, then prove that:
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