If `S_n` denotes the sum of first `n` terms of an A.P. <`a_n`> such that `(S_m)/(S_n)=(m^2)/(n^2),\ t h e n(a_m)/(a_n)=` a.`(2m+1)/(2n+1)` b. `(2m-1)/(2n-1)` c. `(m-1)/(n-1)` d. `(m+1)/(n+1)`

If S_(n) , denotes the sum of first n terms of a A.P. then (S_(3n)-S_(n-1))/(S_(2n)-S_(2n-1)) is always 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 .

Suppose a_(1),a_(2),... are in AP and S_(k), denotes the sum of the first k terms of this AP.If (S_(n))/(S_(m))=(n^(4))/(m^(4)) for all m,n in N, then prove that (a_(m+1))/(a_(n+1))=((2m+1)^(3))/((2n+1)^(3))

The ratio of the sum of m and n terms of an A.P. is m^(2) :n^(2) . Show that the ratio mth and nth term is (2m-1) : (2n-1).

The ratio of the sum of m and n terms of an A.P. is m^(2) :n^(2) . Show that the ratio mth and nth term is (2m-1) : (2n-1).

The ratio of the sum of m and n terms of an A.P. is m^(2) :n^(2) . Show that the ratio mth and nth term is (2m-1) : (2n-1).

The ratio of the sums of m and n terms of an A.P. is m^2 : n^2. Show that the ratio of m^(th) and n^(th) term is (2m-1) : (2n -1) .

The ratio of the sums of m and n terms of an A.P. is m^2 : n^2. Show that the ratio of m^(th) and n^(th) term is (2m-1) : (2n -1) .

The ratio of the sums of m and n terms of an A.P. is m^2: n^2 . Show that the ratio of m^(th) and n^(th) term is (2m - 1 ) : (2n -1).