Let `T_r` denote the rth term of G.P for r=1,2,3 …If for some postive intergers m and n, we have `T_m=1//n^2` and `T_n=1//m^2` then find the vlaue of `T_((m+n)//2)`

Let T_r denote the rth term of a G.P. for r=1,2,3, If for some positive integers ma n dn , we have T_m=1//n^2 and T_n=1//m^2 , then find the value of T_(m+n//2.)

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/na n dT_n=1/m ,t h e nT_(m n) equals 1/(m n)

Let T , be the r^(th) term of an A.P. whose first term is a and common difference is d If for some positive integers m, n, m != n , T_(m) = 1/n and T_(n) = 1/m , then a - d equals

If sum_(r=1)^n T_r=(3^n-1), then find the sum of sum_(r=1)^n1/(T_r) .

If t_n denotes the nth term of the series 2+3+6+11+18+….. Then t_50 is

If the sum of n terms of an A.P. is 3n^(2) + 5n and its m^(th) term is 164, find the value of m .

Let T_r a n dS_r be the rth term and sum up to rth term of a series, respectively. If for an odd number n ,S_n=na n dT_n=(T_n-1)/(n^2),t h e nT_m ( m being even)is a. 2/(1+m^2) b. (2m^2)/(1+m^2) c. ((m+1)^2)/(2+(m+1)^2) d. (2(m+1)^2)/(1+(m+1)^2)

The mth term of a H.P is n and the nth term is m . Proves that its rth term is m n//rdot

Let T_(n) denote the number of triangles which can be formed by using the vertices of a regular polygon of n sides. If T_(n+1)-T_(n)=28 Then n =

Let T_(n) denote the number of triangles which can be formed by using the vertices of a regular polygon of n sides. If T_(n + 1) - T_(n) = 36 , then n is equal to