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Let T_r be the rth 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

Options

  1. A0
  2. B1
  3. C1 mn
  4. D1 m + 1 n

Correct answer

A. 0

Step-by-step solution

T_m= 1 n =a+(m-1) d and T_n= 1 m =a+(n-1) d from (1) and (2) we get a= 1 m n , d= 1 m n Hence a - d =0

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