Home
Class 10
MATHS
If the m^(th) term of an A.P. is 1/n and...

If the `m^(th)` term of an A.P. is `1/n` and the `n^(th)` term is `1/m`, show that the sum of mn terms is `1/2(mn+1)`.

Text Solution

Verified by Experts

The correct Answer is:
`= (mn + 1)/(2)`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    EDUCART PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|44 Videos

  • ARITHMETIC PROGRESSIONS

    EDUCART PUBLICATION|Exercise SHORT ANSWER (SA - I) TYPE QUESTIONS|46 Videos

  • AREAS RELATED TO CIRCLES

    EDUCART PUBLICATION|Exercise OBJECTIVE TYPE QUESTION (LONG ANSWER TYPE QUESTIONS) |19 Videos

  • CBSE PAPER (12 MARCH 2020)

    EDUCART PUBLICATION|Exercise Set III (Section - D)|2 Videos

Similar Questions

Explore conceptually related problems

If the m^(th) term of an A.P.is (1)/(n) and the n^(th) terms is (1)/(m), show that the sum of mn terms is (1)/(2)(mm+1)

If the m^(th) term of an A.P.is (1)/(n) and the n^(th)term is (1)/(m), show that the sumof mn terms is (1)/(2(mn+1)where)m!=n

If the m^(th) term of an H.P. is n and the n^(th) term is m, show that its (mm)^(th) term is 1.

If the 10^(th) term of an A.P. is 1/5 and its 20^(th) term is 1/3 , then the sum of its first 150 terms is:

The m^(th) term of an A.P. is n and n^(th) term is m its p^(th) term is

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

If the mth term of an AP is 1/n and nth term is 1/m, then find the sum to mn terms.

If p th term of an A.P. is 1/q and q th term is 1/p prove that the sum of the first pq terms is 1/2[pq+1]

EDUCART PUBLICATION-ARITHMETIC PROGRESSIONS-SHORT ANSWER (SA - II) TYPE QUESTIONS
  1. If sum of first 6 terms of an AP is 36 and that of the first 16 terms ...

    Text Solution

    |

  2. The sum of the first n terms of an AP whose first term is 8 and the co...

    Text Solution

    |

  3. If the m^(th) term of an A.P. is 1/n and the n^(th) term is 1/m, show ...

    Text Solution

    |

  4. find the sum of n terms of the series (4-1/n)+(4-2/n)+(4-3/n)+...........

    Text Solution

    |

  5. For what value of n, the nth terms of the arithmetic progressions 63, ...

    Text Solution

    |

  6. Find the sum of the first 40 positive integers divisible by 6.

    Text Solution

    |

  7. Divide 56 in four parts in A.P. such that the ratio of the product of ...

    Text Solution

    |

  8. If the sum of first 7 terms of an A.P. is 49 and that of its 17 terms ...

    Text Solution

    |

  9. If the sum of first m terms of an A.P. is the same as the sum of its f...

    Text Solution

    |

  10. How many terms of the A.P. 9, 17, 25, …..must be taken to give a sum o...

    Text Solution

    |

  11. The houses of a row are numbered from 1 to 49. Show that there is a va...

    Text Solution

    |

  12. The 14th term of an A.P. is twice its 8th term. If its 6th term is -8,...

    Text Solution

    |

  13. The digits of a positive integer, having three digits, are in A.P. and...

    Text Solution

    |

  14. Find the sum of first 24 terms of the list of numbers whose nth term ...

    Text Solution

    |

  15. Determine the AP whose third term is 16 and the 7th term exceeds the 5...

    Text Solution

    |

  16. Justify whether it is true to say that the following are the nth terms...

    Text Solution

    |

  17. Justify whether it is true to say that the following are the nth terms...

    Text Solution

    |

  18. Justify whether it is true to say that the following are the nth terms...

    Text Solution

    |

  19. Find a, b and c such that the following numbers are in AP, a, 7, b, 23...

    Text Solution

    |

  20. Determine the AP whose fifth term is 19 and the difference of the eigh...

    Text Solution

    |