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Arithmetic Sequencesmedium
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If an arithmetic sequence has a property where the ratio of the sum of the first nnn terms SnS_nSn​ to the sum of the first mmm terms SmS_mSm​ is n2m2\frac{n^2}{m^2}m2n2​, what is the ratio of the nthn^{th}nth term ana_nan​ to the mthm^{th}mth term ama_mam​?