Home
Class 11
MATHS
In an A.P., the mth term is 1/n and the ...

In an A.P., the mth term is `1/n` and the nth term is `1/m`, find the (mn)th term.

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

In an A.P., the third term is p and the fourth term is q, find the 10th term and the general term.

In an A . P , if mth Term is n and nth term is m , where m nen , find the pth term .

The 6th term of an A.P. is 12 and the 8th term is 22, Find the 10th term.

If mth term of an AP is 1/n and its nth term is 1/m , then show that its (mn)th term is 1

In a GP if the (m+n)th term is p and (m-n)th term is q then mth term is

In an A.P., if p^(th) term is 1/q and q^(th) term is 1/p , prove that the sum of first pq terms is 1/2(pq+1) , where p ne q .

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.

In an A.P. third term is 14 and 8th term is 34. Find S_n and S_(20) .

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Which term of the progression 19 , 18 1/5, 17 2/5, ......... is the fi...

    Text Solution

    |

  2. Each term of an A.P. is doubled. Is the resulting sequence also an A.P...

    Text Solution

    |

  3. In an A.P., the mth term is 1/n and the nth term is 1/m, find the (mn)...

    Text Solution

    |

  4. If a, b, c are in A.P., then prove that : (a-c)^2 =4(b^2 -ac).

    Text Solution

    |

  5. Show that the sequence : log a, log (ab), log (ab^2), log (ab^3),........

    Text Solution

    |

  6. How many number of two digits are divisible by 7 ?

    Text Solution

    |

  7. If Sn denotes the sum of n terms of an A.P. whose first term is a, and...

    Text Solution

    |

  8. If S(1),S(2),S(3),"....",S(p) are the sums of n terms of p AP's whose ...

    Text Solution

    |

  9. If the sum of m terms of an AP is equal to the sum of either the next ...

    Text Solution

    |

  10. If the sum of first p terms of an A.P. is equal to the sum of the firs...

    Text Solution

    |

  11. The first term of an A.P. is a, the second term is b and last term is ...

    Text Solution

    |

  12. Find the sum of all numbers in the first 1000 integers, which are neit...

    Text Solution

    |

  13. A man gets an appointment with two options Either he can accept ₹ 45 p...

    Text Solution

    |

  14. A farmer, buys a used tractor for Rs.. 12000. He pays Rs.6000 cash and...

    Text Solution

    |

  15. Shamshad Ali buys a scooter for Rs 22000 He pays Rs. 4000 cash And ag...

    Text Solution

    |

  16. Two cars start together in the same direction at the same place.The fi...

    Text Solution

    |

  17. The ages of the students of a class form an A.P. whose common differen...

    Text Solution

    |

  18. If b^2+c^2, c^2+a^2, a^2+b^2 are in A.P. prove that : 1/(b + c), 1/(c...

    Text Solution

    |

  19. If a^(-1),b^(-1),c^(-1),d^(-1) are in A.P., then show that : b=(2ac)/(...

    Text Solution

    |

  20. If a(1)=1, a(2)=5 find the common difference and 5th term of A.P

    Text Solution

    |