Question

Let `T_r` be the `r^(th)` term of an A.P whose first term is `a` and common difference is `d` IF for some integer m,n, `T_m=1/n` and `T_n=1/m` then `a-d=`
A. `(1)/(m)+(1)/(n)`
B. 1
C. `(1)/(nm)`
D. 0

Answer 1

Correct Answer - D
We have,
`T_(m)=(1)/(n)andT_(n)=(1)/(m)`
`rArra+(m-1)d=(1)/(n)anda+(n-1)d=(1)/(m)`
`rArr a=d=(1)/(mn)rArra-d=0`.