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The sum of n,2n,3n terms of an A.P.areS1,S2,S3,respectively. Prove that S3=3 (S2-S1)

Posted by Akash Meher 7 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Chirag Saini 7 years, 4 months ago

GIVEN := A1=N A2=2N A3=3N PROOF:= S2-S1 =A2+A1-A1= A2 EQUATION. 1 A2 =2N TAKING RHS 3(S2-S1) = 3A2.(PROVED. SEE EQUATION. 1) =3(2N) (A2 =2N) =6N. EQUATION OF RHS TAKING LHS S3 =A1+A2+A3 =N+2N+3N =6N. EQUATION OF LHS ON Comparing equation of LHS and RHS We can say that LHS = RHS S3=3(S2-S1) HAVE A NICE DAY

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Dhillon Boy Dhillon 5 years, 8 months ago

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CBSE > Class 10 > Mathematics