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Grade 11Algebra

If Sn denotes the sum of first n terms of an A.P. n> such that Sm/Sn =m2/n2 , then am/an = ?

Profile image of Pratyush Ranjan Roul
9 Years agoGrade 11
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2 Answers

Profile image of Nishant Vora
ApprovedApproved Tutor Answer9 Years ago
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Profile image of moumi roy
9 Years ago
SM/SN=M2/N2
{M(2a+(M-1)d)/2}/{N(2a+(N-1)d)/2}=M2/N2
(2a+(M-1)d)/(2a+(N-1)d)=M/N
putting M=2M-1 &N=2N-1
2(a+(M-1)d)/2(a+(N-1)d)=(2M-1)/(2N-1)
am/an=(2M-1)/(2N-1)---ans