Home
Class 11
MATHS
Let Tr be the rth term of an A.P. whose ...

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 ne n, T_m =1/n` and `T_n=1/m`, then a-d equals :

A

0

B

1

C

`1/(mn)`

D

`1/m+1/n`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos
  • SETS

    MODERN PUBLICATION|Exercise EXERCISE|381 Videos

Similar Questions

Explore conceptually related problems

Find the sum of A.P first term 3 and common difference 2 and n=5

If S_n denotes the sum of n terms of an A.P. whose first term is a, and the common difference is d Find: = Sn - 2Sn + S(n +2) .

Find the sum of first n terms of an A.P. whose nth term is 3n+1.

If S_n = n² + 2n , then find first term & common difference?

The sum of n terms of an A.P. whose first term is 5 and common difference is 36 is equal to the sum of 2n terms of another A.P. whose first term is 36 and common difference is 5. Find n.

The sum of n terms of an A.P. is 136, the common difference is 4 and the last term is 31, find the number of terms.

If the first term a_1 of an A.P. is 22, the common difference d = -4 and the sum to n terms is 64, find n. Explain the double answer.

Evaluate int cosmx cosnx dx , where m,n are positive integers and m ne n . What happens if m=n?

The sum of first 2n terms of an AP is alpha . and the sum of next n terms is beta, its common difference is

Find the first six terms of the sequence whose first term is 1 and whose (n+1)th term is obtained by adding n to the nth term.

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Find the sum of n terms of the series 1. 2^2+2. 3^2+3. 4^2+

    Text Solution

    |

  2. If the A.M of two numbers is 9 and G.M is 4, then these numbers are ro...

    Text Solution

    |

  3. Let Tr be the rth term of an A.P. whose first term is a and common dif...

    Text Solution

    |

  4. An infinite G.P. has first term ‘x’ and sum ‘5’, then x belongs to ,

    Text Solution

    |

  5. If x= sum(n=0)^(oo) a^n, y=sum(n=0)^(oo) b^n, z= sum(n=0)^(oo) c^n, wh...

    Text Solution

    |

  6. In the quadratic equation ax^2 + bx + c = 0. if delta = b^2-4ac and al...

    Text Solution

    |

  7. The value of underset(n=1)overset(10)sum (sin . (2 n pi)/(11)- cos. (2...

    Text Solution

    |

  8. Let a(1),a(2),a(3),"........." be terms are in AP, if (a(1)+a(2)+".......

    Text Solution

    |

  9. If a geometric progression consisting of positive terms, each term equ...

    Text Solution

    |

  10. The first two terms of a geometric progression add upto 12 the sum of ...

    Text Solution

    |

  11. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+...oo=

    Text Solution

    |

  12. If the sum of first n terms of an AP is cn^(2), then the sum of square...

    Text Solution

    |

  13. A person is to count 4500 currency notes, Let an denote the number of ...

    Text Solution

    |

  14. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  15. Let a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)= alpha " and...

    Text Solution

    |

  16. The difference between any two consecutive interior angles of a polygo...

    Text Solution

    |

  17. Find the sum Sn of the cubes of the first n terms of an A.P. and show ...

    Text Solution

    |

  18. In a G.P the sum of the first and last terms is 66, the product of the...

    Text Solution

    |

  19. The sum of first ten terms of an A.P. is 155 and the sum of first two ...

    Text Solution

    |

  20. Find three numbers a,b,c between 2 and 18 such that : their sum is 25....

    Text Solution

    |