Home
Class 12
MATHS
The sum of the first p terms of an A.P. ...

The sum of the first p terms of an A.P. is q and the sum of the first q terms of the same A.P. is p. Find the sum of the first (p+q) terms of the A.P.

Text Solution

Verified by Experts

The correct Answer is:
`-(p+q)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Multiple Choice Type Questions)|14 Videos
  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 C (Very Short Answer Type Questions)|17 Videos
  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Short Answer Type Questions)|42 Videos
  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos
  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

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.

The sum of the first 4 terms of a G.P. is 40 and the sum of first 8 terms is 3280. Obtain the G.P.

The nth term of an A.P. is 7n-5, find the sum of first 20 terms of the series.

The n term of an A.P is 7n-5,find the sum of first 20 terms of the series.

The sum of first 8 terms of a G.P. is five times the sum of the first 4 terms. Find the common ratio.

The twelfth term of an A.P. is (-13) and the sum of its first four terms is 24, find the sum of first 10 terms of the A.P.

If the sum of the first n terms of a G.P. = p and the sum of the first 2n terms = 3p, show that the sum of first 3n terms = 7p.

The sum of first P terms of an A.P. is equal to the sum of its first Q terms. Show that the sum of its first (P+Q) terms is zero.

If the sum of first n terms of a G.P is p and the sum of the first 2n terms is 3p,show that the sum of first 3n terms is7p.

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P. is 9. The first term of the A.P. is equal to the common ratio of the G.P. and the first term of the G.P. is equal to the common difference of the A.P. Find the two progressions.

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 B (Long Answer Type Questions)
  1. If the sum of first 2n terms of the A.P. 2, 5, 8,…. Is equal to the su...

    Text Solution

    |

  2. Let S(n) be the sum of first n terms of an A.P. If S(2n) = 5s(n), then...

    Text Solution

    |

  3. The sum of the first p terms of an A.P. is q and the sum of the first ...

    Text Solution

    |

  4. If the pth and qth terms of an A.P. be a and b respectively, show that...

    Text Solution

    |

  5. If S(1), S(2), S(3) be the sums of n terms of three aA.P.'s, the first...

    Text Solution

    |

  6. If the sums of n, 2n and 3n terms of an A.P. be S(1), S(2), S(3) respe...

    Text Solution

    |

  7. The sums of n terms of two A.P.'s are in the ratio (4n-13) : (3n + 10)...

    Text Solution

    |

  8. The sums of first n terms of two A.P.'s are in the ratio (3n+5) : (5n ...

    Text Solution

    |

  9. Insert a number of arithmetic means between 4 and 34 such that the sum...

    Text Solution

    |

  10. If a, b, c are in A.P. then show that, a((1)/(b)+(1)/(c )), b((1)/(c )...

    Text Solution

    |

  11. Three positive numbers a, b, c are in A.P. Prove that (1)/(sqrt(b)+sqr...

    Text Solution

    |

  12. If a(1), a(2), a(3),…, a(n) be in A.P. Show that, (1)/(a(1)a(2)) + (...

    Text Solution

    |

  13. If a(1), a(2), a(3),…, a(2k) are in A.P., prove that a(1)^(2) - a(2)^(...

    Text Solution

    |

  14. If (b-c)^(2), (c-a)^(2), (a-b)^(2) are in A.P. then prove that, (1)/(b...

    Text Solution

    |

  15. Find the sum to n terms of each of the following series : 2.4 + 6.8 ...

    Text Solution

    |

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

    Text Solution

    |

  17. Find the sum to n terms of each of the following series : 1.3 .5 + 3...

    Text Solution

    |

  18. Find the sum of the following series : 3.1^(2) + 4.2^(2) + 5.3^(2) +...

    Text Solution

    |

  19. Find the sum of the following series : 1+3+6+10+15+… to n terms.

    Text Solution

    |

  20. Find the sum of the following series : 1+5+12+22+35+…. to n terms.

    Text Solution

    |