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If S n denotes the sum of first n terms of an A.P. n > such that S m /S n =m 2 /n 2 , then a m /a n = ?

If Sdenotes the sum of first n terms of an A.P.  n> such that Sm/S=m2/n, then am/a=  ?

Grade:11

2 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
7 years ago
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moumi roy
91 Points
7 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

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