यदि किसी स. श्रे. के n, 2nतथा 3nपदों के योग क्रमशः S_(1),S_(2), S_(3)हों, तो सिद्धकीजिए किS_(3)=...

If the sum of n,2n,3n terms of an AP are S_(1),S_(2),S_(3) respectively.Prove that S_(3)=3(S_(2)-S_(1))

The sum of n,2n,3n terms of an A.P.are S_(1),S_(2),S_(3) respectively.Prove that S_(3)=3(S_(2)-S_(1))

The sum of n,2n,3n terms of an A.P.are S_(1)S_(2),S_(3), respectively.Prove that S_(3)=3(S_(2)-S_(1))

S_(n+3)-3S_(n+2)+3S_(n+1)-S_(n)=0

If S_(3n)=2S_n then find the value of S_(4n)/S_(2n)

Let the sum of n,2n,3n terms of an A.P.be S_(1),S_(2) and respectively,show that S_(3)=3(S_(2)-S_(1))

If S_(1), S_(2), S_(3),...,S_(n) are the sums of infinite geometric series, whose first terms are 1, 2, 3,.., n and whose common rations are (1)/(2), (1)/(3), (1)/(4),..., (1)/(n+1) respectively, then find the values of S_(1)^(2) + S_(2)^(2) + S_(3)^(2) + ...+ S_(2n-1)^(2) .