Home
Class 11
MATHS
If the 'sum of first m terms of an A . P...

If the 'sum of first `m` terms of an `A . P`. be `n` and the sum of first `n` terms be `m`, show that the sum of first `m+n` terms is `-(m+n)`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTIONBANK|79 Videos

  • SETS

    V PUBLICATION|Exercise QUESTION BANK|116 Videos

Similar Questions

Explore conceptually related problems

If the sum of first 20 terms of an AP is equal to the sum of first 30 terms, then the sum of first 50 terms is.... a)50 b)20 c)0 d)80

If the m^th terms of an AP is 1/n and the n^th term is 1/m , prove that the sum of the first mn terms is 1/2(mn+1)

Sum of first n terms of an arithmetic sequence is 8n^2 +5n. Find the sum of first 20 terms.

If the sum to first n terms of the AP 2, 4, 6, ……. Is 240, then the value of n is

The sum of first 9 terms of an arithmetic sequence is 45 and the sum of first 18 terms is 171. Find the sum of 5^(th) to 14^(th) terms.

The sum of first 9 terms of an arithmetic sequence is 45 and the sum of first 18 terms is 171. What is the sum of its 10^(th) to 18^(th) terms?

Suppose that a, ar, ar^2,ar^3,ar^4,ar^5 are the first 6 terms of a G.P Find the ratio of the sum of the first tree terms and the sum of first 6 terms

The sum of first 9 terms of an arithmetic sequence is 45 and the sum of first 18 terms is 171. What is its 5^(th) term?

The sum of first 9 terms of an arithmetic sequence is 45 and the sum of first 18 terms is 171. Find its 14^(th) term.

Find the sum of the first n terms of the series whose nth term is n(n+3) .

V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. If S1, S2, S3 are the sum of first n natural numbers, their squares an...

    Text Solution

    |

  2. Find the sum to n terms of the series: (1^3)/(1)+(1^3+2^3)/(1+3) + ...

    Text Solution

    |

  3. Show that (1 xx 2^2+2 xx 3^2+. .+n xx(n+1)^2)/(1^2 xx 2+2^2 xx 3+. .+n...

    Text Solution

    |

  4. A farmer buys a used tractor for Rs. 12,000. He pays Rs. 6000 cash and...

    Text Solution

    |

  5. Shamshad Ali buys a scooter for Rs. 22000. He pays Rs. 4000 cash and a...

    Text Solution

    |

  6. A person writes a letter to four of his friends. He asks each one of t...

    Text Solution

    |

  7. A man deposited Rs. 10000 in a bank at the rate of 5 % simple interest...

    Text Solution

    |

  8. A manufacturer reckons that the value of a machine, which costs him Rs...

    Text Solution

    |

  9. 150 workers were engaged to finish a job in a certain number of days. ...

    Text Solution

    |

  10. Write the first 'three terms of the sequences whose nth term Tn is giv...

    Text Solution

    |

  11. Show that the sequence: log a, log ((a^2)/b), log(( a^3)/(b^2)) . . is...

    Text Solution

    |

  12. Which term of the sequence 37,32,27,22,... is -103

    Text Solution

    |

  13. Find the 20^( th) term of the series 2 xx 4+4 xx 6+6 xx 8+. . .,+ n t...

    Text Solution

    |

  14. The 7^th term of an AP is 34 and the 15^thterm is 74. Find the 40^th t...

    Text Solution

    |

  15. Prove that the product of the 2^ (nd) and 3 rd terms of an A.P.'excee...

    Text Solution

    |

  16. Find the sum of all three digit numbers which leave the remainder 1 wh...

    Text Solution

    |

  17. If the 'sum of first m terms of an A . P. be n and the sum of first n ...

    Text Solution

    |

  18. Insert three A.M.s between 11 and 14

    Text Solution

    |

  19. Find the n^ (th) and 9^ (th) terms of the sequence 3,6,12,24, . .

    Text Solution

    |

  20. For what value of n, the n^ (th) terms of the series " 5+10+20+.........

    Text Solution

    |