Home
Class 12
MATHS
Let Tr a n dSr be the rth term and sum u...

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 `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)`

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))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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 a. 1/(m n) b. 1/m+1/n c. 1 d. 0

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.)

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

If S_n denotes the sum of first n terms of an A.P. 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 the m^(t h) term of an A.P. is 1/n and the n^(t h) terms is 1/m , show that the sum of m n terms is 1/2(m n+1)dot

If the ratio of the sum of m terms and n terms of an A.P. be m^2 : n^2 , prove that the ratio of its mth and nth terms 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).