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Let T(r) be the rth term of an A.P, for ...

Let `T_(r)` be the rth term of an A.P, for r = 1,2 …. If for some positive integers m and n, we have `T_(m)=1/n` and `T_n= 1 /m` , the `T_(mn)` =

A

`-1 //mn`

B

1/m + 1/n

C

1

D

0

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. If the sum of three numbers which are in A.P is 15 and the sum of the ...

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  2. If the sum of four numbers in A.P is 24 and the sum of their square is...

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  3. Let T(r) be the rth term of an A.P, for r = 1,2 …. If for some positiv...

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  4. If a and x are positive integers such that x lt a and sqrt(a - x ), sq...

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  5. If the length of sides of right angled triangle are in A.P., then the ...

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  6. If three positive real numbers a,b, c are in A.P such that abc = 4, th...

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  7. If log(5) 2, log(5) (2^(x)-5 ) log(5) (2^(x) - 7//2) are in A.P ., th...

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  8. If a(1),a(2),a(3),………. are in A.P. such that a(1) + a(5) + a(10) + a(1...

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  9. Four numbers are in arithmetic progression. The sum of first and last ...

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  10. The ratio of the sums of m arithmatic means and n arithmatic means bet...

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  11. Between 1 and 31 are inserted m arithmetic means, so that the ratio of...

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  12. If a(1), a(2) ……… a(n) are in A.P with common difference d ne 0, then ...

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  13. Value of underset(n rarr infty )(Lim) sum(r = 1)^(n) Tan^(-1) ((1)/(2r...

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  14. Given that n A.M.s are inserted between two sets of numbers a , 2b and...

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  15. If pth, qth, rth terms of an A.P are a,b,c then a(q - r ) + b(r - p ) ...

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  16. If mth terms of an A.P . Is n and nth term is m, then (m + n)th term i...

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  17. If the mth term of an A.P is n and nth term is m , then pth term =

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  18. If 100 times the 100^(th) term of an A.P with non zero common differen...

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  19. If the sum of m terms of an A.P, is equal to the sum of n terms of the...

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  20. If a(1), a(2) …… a(n) are in A.P then (sqrt(a(1)) + sqrt(a(n)))/( sqrt...

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