The sum of n,2n,3n terms of an A.P.areS1,S2,S3,respectively. Prove tha

1.	The sum of n,2n,3n terms of an A.P.areS1,S2,S3,respectively. Prove thatS3=3 (S2-S1)
Answer» GIVEN :=A1=NA2=2NA3=3NPROOF:=S2-S1 =A2+A1-A1= A2 EQUATION. 1A2 =2NTAKING RHS3(S2-S1) = 3A2.(PROVED. SEE EQUATION. 1) =3(2N) (A2 =2N)=6N. EQUATION OF RHSTAKING LHSS3 =A1+A2+A3=N+2N+3N=6N. EQUATION OF LHSON Comparing equation of LHS and RHSWe can say that LHS = RHSS3=3(S2-S1)HAVE A NICE DAY hsjdhxjsakbsjdkddjhdjz

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