[" (iii) Let "T_(r)" be the "r" th term of an A.P.If "m*T_(m)=n*T_(n)],[" then show that,"T_(m+n)=0" ."]

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 .

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

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.

If t_(n)" is the " n^(th) term of an A.P. then the value of t_(n+1) -t_(n-1) is ……

Let T_(r) be the rth term of an A.P.for r=1,2,3,...... If for some positive integers m,n, we have T_(m)=(1)/(n)andT_(n)=(1)/(m), then T_(mn) equals a.(1)/(mn) b.(1)/(m)+(1)/(n) c.1 d.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) =

Let T_(r) be the rth term of an A.P.whose first term is -1/2 and common difference is 1, then sum_(n)^(n)sqrt(1+T_(r)T_(r+1)T_(r+2)T_(r+3))

Let T_(r) be the rth term of an AP, 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_(m+n) equals