Home
Class 10
MATHS
If the sum of p terms of an A.P is equal...

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.

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 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 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 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) .

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 .

The sum of 45 terms of an A.P. is 3195. Find its 23rd term.

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)) .

The sum of four consecutive terms of an A.P. is 2. The sum of the 3rd and 4th terms is 11. Find the terms.

The sum of the 3rd and 7th terms of an A.P. is 54 and the sum of the 5th and 11th terms is 84. Find the A.P.

If the 9th term of an A.P is zero then show that the 29th term is twice the 19th 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

    |