Q.

If the ratio of sum of m terms and n terms of an A.P. be m2 : n2 , then the ratio of its mth  and nth  terms will be

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a

2m−1 : 2n−1

b

m : n

c

2m+1 : 2n+1

d

m−1 :n−1

answer is A.

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Detailed Solution

SmSn=m2n2  ∴ Smm2=Snn2= k (say) TmTn=Sm−Sm−1Sn−Sn−1=km2-m-12kn2-n-12=2m−12n−1
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If the ratio of sum of m terms and n terms of an A.P. be m2 : n2 , then the ratio of its mth  and nth  terms will be