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

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Correct option is A

Tm=a+(m−1)d=1nTn=a+(n−1)d=1m (m−n)d=1n−1m=(m−n)mn So, d=1mn a=1n−(m−1)d=1n−(m−1)1mn=1mna−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 and a−d equals:

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Ready to Test Your Skills?

free study material

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