Q.60 : If Sm = m²p and Sn = n²p, where m ≠ n in an AP then prove that Sp = p³

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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​
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)`
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 .
If in an A.P. the sum of m terms is equal to n and the sum of n terms is equal to m,then prove that If in an A.P. the sum of m terms is equal to n and the sum of n terms is equal to m,then prove that
XAPQ084 _ If Sn = n2p and Sm = m2p in an A.P. Prove that Sp = p3. XAPQ084 _ If Sn = n2p and Sm = m2p in an A.P. Prove that Sp = p3.
Domain, Codomain, Range, One-to-One, Onto Domain, Codomain, Range, One-to-One, Onto
In an A.P. Sn denotes the sum to first n terms, if Sn = n2p and Sm = m2p (m ≠ n) prove that Sp = p3. In an A.P. Sn denotes the sum to first n terms, if Sn = n2p and Sm = m2p (m ≠ n) prove that Sp = p3.
#shorts #arithmeticprogression In an AP If Sn = n2 p and Sm = m2 p, then show that Sp = p3 #shorts #arithmeticprogression In an AP If Sn = n2 p and Sm = m2 p, then show that Sp = p3