Home
Class 10
MATHS
If the sum of first m terms of an A.P. i...

If the sum of first `m` terms of an A.P. is the same as the sum of its first `n` terms, show that the sum of tis `(m+n)` terms is zero.

Text Solution

Verified by Experts

The correct Answer is:
0
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 sum of m terms of an AP is the same as the sum of its n terms , show that the sum of its (m+n) terms is zero .

If the sum of first n terms of a G.P. is s and the sum of its first 2n terms is 5S, then show that the sum of its first 3n terms is 21S .

If the sum of first n terms of a G.P. is S and the sum of its first 2n terms is 5S, then show that the sum of its first 3n terms is 21S.

If the sum of m terms of an A.P. is same as the sum of its n terms, then the sum of its (m+n) terms is

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p+q) terms.

If the sum of the first 9 terms of an AP is equal to the sum of its first 11 terms, then find the sum of its first 20 terms.

If the sum of the first 9 terms of an AP is equal to the sum of its first 11 terms, then find the sum of its first 20 terms.

If the sum of first n terms of an A.P. is 3n^(2)-2n , then its 19th term is

EDUCART PUBLICATION-ARITHMETIC PROGRESSIONS-SHORT ANSWER (SA - II) TYPE QUESTIONS
  1. Divide 56 in four parts in A.P. such that the ratio of the product of ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The sum of the first 30 terms of an A.P. is 1920. if the fourth term i...

    Text Solution

    |

  16. Which term of the sequence 20 ,\ \ 19 1/4,\ \ 18 1/2,\ \ 17 3/4,\ d...

    Text Solution

    |

  17. Find the middle term of th e A.P. 7, 13, 19, … 247.

    Text Solution

    |

  18. Split 207 into three parts such that these are in AP and the product o...

    Text Solution

    |

  19. How many numbers lie between 10 and 300, which divided by 4 leave a re...

    Text Solution

    |

  20. Find the sum of two middle terms of the AP -4/3,-1,-2/3,-1/3,...,4(1/3...

    Text Solution

    |