In an AP, if S_n=n^2and S_m=m^2 p, m ≠ n, then prove that S_p=p^3. (W)

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If `S_(m)=m^(2) p and S_(n)=n^(2)p`, where ` m ne n` in an AP then prove that ` S_(p) =P^(3)` If `S_(m)=m^(2) p and S_(n)=n^(2)p`, where ` m ne n` in an AP then prove that ` S_(p) =P^(3)`
In an A.P. the Sn= n²p and Sm =m²p,m not equal to n then, prove that Sp= p³​ In an A.P. the Sn= n²p and Sm =m²p,m not equal to n then, prove that Sp= p³​
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If Sm = m^2p and Sn = n^2p, where m ≠ n in an AP then prove that Sp = p3 . If Sm = m^2p and Sn = n^2p, where m ≠ n in an AP then prove that Sp = p3 .