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$Let T_{r} be the r^{th} term of an A.P. whose first term is a and common$ $difference is d . If for some positive integers m, n, m \neq n, T_{m} = \frac{1}{n} and T_{n} = \frac{1}{m},$ $then a-d$

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Correct option is A

Tm=a+m−1d=1n, Tn=a+n−1d=1m Solving a=1mn and d=1mn ⇒a−d=0

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Let Tr 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,Tm=1n and Tn=1m, then a-d

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Ready to Test Your Skills?

free study material

$Let T_{r} be the r^{th} term of an A.P. whose first term is a and common$ $difference is d . If for some positive integers m, n, m \neq n, T_{m} = \frac{1}{n} and T_{n} = \frac{1}{m},$ $then a-d$