" If "quad " If "S_(n)=n^(2)p" and "S_(m)=m^(2)p,m!=n" .Prove that "S_(p)=p^(3)

If in an A.P.S_(n)=n^(2)p and S_(m)=m^(2)p, then S_(p) is equal to

The sum of first n terms of an A.P. is S_n .If S_n=n^2p and S_m=m^2p(mnen) .Show that S_p=p^3 .

If in an A.P, S_n=n^2p and S_m=m^2p , then prove that S_p is equal to 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)

For as Ap. S_(n)= m and S_(m) = n . Prove that S_(m+n)=-(m+n).(m ne n)

If in an A.P, S_n=n^2p and S_m=m^2p , then S_p is equal to

If in an A.P.S_(n)=n^(2)q and S_(m)=m^(2)q, where S_(r) denotes the sum of r terms of the A.P.then S_(q) equals (q^(3))/(2) b.mnq c.q^(3) d.(m^(2)+n^(2))q

For an A.P., S_(1)=6 and S_(7)= 105 . Prove that S_(n): S_(n-3) = (n+ 3): (n-3)