Let `T_(r)` be the rth term of an A.P. If m. `T_(m) = n.T_(n)`, the show that, `T_(m+n) = 0`.

Let t_(r) be the rth term of an A.P. If t_(2), t_(8) and t_(32) are in G.P., then find the common ratio of the G.P.

Let t_(p) be the p th term of an A.P. if its n th tem is zero, show that t_(1)+t_(3)+t_(5)+...+ to n th term=0.

Let T_(r) be the rth term of an A.P, for r = 1,2 …. If for some positive integers m and n, we have T_(m)=1/n and T_n= 1 /m , the T_(mn) =

If t_(n)" is the " n^(th) term of an A.P., then t_(2n) - t_(n) is …..

If the nth term of an A.P. is t_(n) =3 -5n , then the sum of the first n terms is ………

If T_(r) be the rth term of an A.P. with first term a and common difference d, T_(m)=1/n and T_(n)=1/m then a-d equals