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

If the sum of `P` terms of an A.P. is `q` and the sum of `q` terms is `p` , then the sum of `p+q` terms will be
(a) 0
(b) `p-q`
(c) `p+q`
(d) `(p+q)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    RD SHARMA ENGLISH|Exercise All Questions|251 Videos
  • CIRCLES

    RD SHARMA ENGLISH|Exercise All Questions|131 Videos

Similar Questions

Explore conceptually related problems

If the sum of p terms of an A.P. is q and the sum of q terms is p, show that the sum of (p+q) terms is -(p+q).

The sum of first p- terms terms of an A.P. is q and the sum of first q terms is p, find the sum of first (p + q)

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 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 p terms of an A.P. is equal to sumof its q terms. Prove that the sum of (p+q) terms of it is equal to zero.

If the pth term of an A.P. is q and the qth term is p , then find its rth term.

If the sum of p terms of an AP is q and the sum of q terms is p, then show that the sum of p+q terms is - (p+q) , Also find the sum of first p-q terms (where , pgtq ).

The first term of an A.P. is a and the sum of first p terms is zero, show that the sum of its next q terms is (-a(p+q)q)/(p-1)dot

The pth term of an A.P. is q and the qth term is p, show that the mth term is p + q -m.

If the p^(t h) term of an A.P. is q and the q^(t h) term is p , prove that its n^(t h)t e r mi s(p+q-n)dot

RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. If the sum of first p terms of an AP is ap^2+bp find the common differ...

    Text Solution

    |

  2. If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its...

    Text Solution

    |

  3. If the sum of P terms of an A.P. is q and the sum of q ter...

    Text Solution

    |

  4. The sum of n terms of an AP is 3n^2+nand its common difference is 6,th...

    Text Solution

    |

  5. The first and last terms of an A.P. are 1 and 11. If the sum of its ...

    Text Solution

    |

  6. If the sum of n terms of an A.P., is 3n^2+5n then which of its terms i...

    Text Solution

    |

  7. If the sum of n terms of an A.P. is 2n^2+5n , then its n t h ...

    Text Solution

    |

  8. If the sum of three consecutive terms of an increasing A.P. is 51 a...

    Text Solution

    |

  9. If four numbers in A.P. are such that their sum is 50 and the great...

    Text Solution

    |

  10. Let Sn denote the sum of n terms of an AP whose first term is a. If co...

    Text Solution

    |

  11. If the first, second and last term of an A.P. are a ,\ b and 2a res...

    Text Solution

    |

  12. If S1 is the sum of an AP of 'n' odd number of terms and S2 be the sum...

    Text Solution

    |

  13. If in an A.P., Sn=n^2p and Sm=m^2p , where Sr denotes the sum of...

    Text Solution

    |

  14. Let Sn denotes the sum of the first of n terms of A.P. and S(2n)=3Sn ...

    Text Solution

    |

  15. in an AP , Sp=q , Sq=p and Sr denotes the sum of the first r terms. Th...

    Text Solution

    |

  16. If Sr denotes the sum of the first r terms of an A.P. Then, S(3n...

    Text Solution

    |

  17. If the first term of an A.P. is 2 and common difference is 4, then ...

    Text Solution

    |

  18. The number of terms of the A.P. 3,\ 7,\ 11 ,\ 15 ,\ ddot to be take...

    Text Solution

    |

  19. Sum of n terms of the series sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32)+\ dd...

    Text Solution

    |

  20. The 9t h term of an A.P. is 449 and 449th term is 9. The term which...

    Text Solution

    |