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Let $T_{r}$ be the rth term of an AP, for $r = 1,$ 2…. . If for some positive integers m and n, we have $T_{m} = \frac{1}{n}$ and
$T_{n} = \frac{1}{m},$ the $T_{m + n}$ equal

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Correct option is C

Let a be the first term and d be the com-mon difference of the given A.P. Then according to thehypothesis, Tm−Tn=1n−1m⇒ (m−n)d=m−nmn⇒d=1mn.⇒ Tm+n−Tm=(m+n−m)1mn=1m

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Let Tr be the rth term of an AP, for r=1, 2…. . If for some positive integers m and n, we have Tm=1n and Tn=1m, the Tm+n equal

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Let $T_{r}$ be the rth term of an AP, for $r = 1,$ 2…. . If for some positive integers m and n, we have $T_{m} = \frac{1}{n}$ and
$T_{n} = \frac{1}{m},$ the $T_{m + n}$ equal