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

S_n in A.P.=

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

If in an A.P. S_(n) = qn^(2) and S_(m) = qm^(2) , where S_(r ) denotes the sum of r terms of the A.P. , then S_(q) equals :

If S_(n)=3n^(2)+2n, Then prove that series is in A.P

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

Let S_n denote the sum upto n terms of an AP . If S_n=n^2P and S_m=m^2P where m,n,p are positive integers and m ne n , then find S_p .