S 1, S 2 ,S 3 are the sum of n,2n.3n terms respectively of an A.P then a.S 3 =S 1 +S 2 b.S 3 =2(S 1 +S 2 ) c.S 3 =3(S 2 -S 1 ) d.non of these

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Harsh Patodia · Answer

Hi Student
a= first term l=last term
S1= n/2(a+l)
S2=2n/2(a+l)= n(a+l)
S3= 3n/2(a+l) = n(a+l) + n/2(a+l) =S1+ S2

Clearly option A satisfies this.
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S 1, S 2 ,S 3 are the sum of n,2n.3n terms respectively of an A.P then a.S 3 =S 1 +S 2 b.S 3 =2(S 1 +S 2 ) c.S 3 =3(S 2 -S 1 ) d.non of these

S_1,S₂,S₃ are the sum of n,2n.3n terms respectively of an A.P then
a.S₃=S₁+S₂
b.S₃=2(S₁+S₂)
c.S₃=3(S₂-S₁)
d.non of these

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S 1, S 2 ,S 3 are the sum of n,2n.3n terms respectively of an A.P then a.S 3 =S 1 +S 2 b.S 3 =2(S 1 +S 2 ) c.S 3 =3(S 2 -S 1 ) d.non of these

S1,S2,S3 are the sum of n,2n.3n terms respectively of an A.P thena.S3=S1+S2b.S3=2(S1+S2)c.S3=3(S2-S1)d.non of these

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S_1,S₂,S₃ are the sum of n,2n.3n terms respectively of an A.P then
a.S₃=S₁+S₂
b.S₃=2(S₁+S₂)
c.S₃=3(S₂-S₁)
d.non of these