Home
Class 10
MATHS
If sum of m terms is n and sum of n term...

If sum of m terms is n and sum of n terms is m,then show that the sum of `(m+n)` terms is `-(m+n)`.

Promotional Banner

Topper's Solved these Questions

  • Arithmetic Progression

    CHETANA PUBLICATION|Exercise EXERCISE|73 Videos
  • BASIC CONCEPTS IN GEOMETRY

    CHETANA PUBLICATION|Exercise EXAMPLE|14 Videos

Similar Questions

Explore conceptually related problems

If the sum of p terms of an A.P is equal to the sum of q terms, then show that the sum of its p+q terms is zero.

If first term of an A.P is a , second term is b and last term is c , then show that sum of all the terms is ((a+c)(b+c-2a))/(2(b-a)) .

If the sum of first p terms of an A.P is equal to the sum of the first q terms, then show that the sum of its first (p+q) terms is zero. (p ne q) .

If the sum of first p terms of an A.P is equal to the sum of first q terms, then show that the sum of its first (p+q) terms is zero . (p ne q) .

If the mth term of a H.P is n and the nth term is m then its (m + n) term is

If m times the mth term of an A.P is equal to n times its nth term then show that (m+n)th term of the A.P is zero .

If sum of n terms is 3n^2 + n , ,find the nth term ……………………………

The ratio of the sums of m terms and n terms of an A.P. is m^(2) : n^(2). Prove that the ratio of their mth and nth term will be (2m - 1) : (2n-1).

If sum of 3rd and 8th term of an A.P is 7 and sum of 7th and 14th term is -3 , then find 10th term.

CHETANA PUBLICATION-Arithmetic Progression-EXERCISE
  1. Mr. Shah borrows ₹4000 and agrees to repay with a total interest of ₹5...

    Text Solution

    |

  2. A farmer borrows ₹1000 and agrees to repay with a total interest of ₹1...

    Text Solution

    |

  3. The sequence -10,-6,-2,2,…… a)is an A.P, Reason d=-16 b)is an A.P, Rea...

    Text Solution

    |

  4. Sum of first five multiples of 3 is…. a)45 b)55 c)15 d)75

    Text Solution

    |

  5. For an A.P.: 2,-2,-6,-10,…. find d. a)-4 b)2 c)4 d)1

    Text Solution

    |

  6. For an A.P, if a=-3 and d=4, then find tn.

    Text Solution

    |

  7. Determine whether following sequence is an A.P : 2,-2,-6,-10,….

    Text Solution

    |

  8. In an A.P, a=6 and d=3. Then find S27.

    Text Solution

    |

  9. Find the 19th term of the following A.P. 7,13,19, 25,…

    Text Solution

    |

  10. Find the sum of all natural numbers from 1 to 140 which are divisible ...

    Text Solution

    |

  11. Number of literate people in the year 2010 is 4000. This number increa...

    Text Solution

    |

  12. Find the consecutive terms in an A.P whose sum is 12 and the sum of th...

    Text Solution

    |

  13. If the sum of p terms of an A.P is equal to the sum of q terms, then ...

    Text Solution

    |

  14. Mr. Ajay borrows ₹3,25,000. He paid ₹30,500 in the first month and the...

    Text Solution

    |

  15. 200 logs of wood are stacked in the following manner:20 logs in the bo...

    Text Solution

    |

  16. If sum of m terms is n and sum of n terms is m,then show that the sum ...

    Text Solution

    |

  17. How many terms of the A.P 16,14,12,….. Are needed to obtain the sum 60...

    Text Solution

    |

  18. If pth, qth and rth terms of an A.P. are l, m, n respectively, show th...

    Text Solution

    |

  19. Jinal saves ₹1600 during first year,₹2100 in the second year,₹2600 in ...

    Text Solution

    |

  20. Find the middle term of sequence formed by all three digit numbers whi...

    Text Solution

    |