Home
Class 11
MATHS
The pth term of an A.P. is a and qth ter...

The pth term of an A.P. is `a` and qth term is `bdot` Then find the sum of its `(p+q)` terms.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

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

The fifth terms of an A.P. is 30 and its twelfth term is 65, find the sum of its first 20 terms.

if the Pth term of an A.P. is q and qth term is P.Then show that the nth term is p+q-n

If the (p+q)th term of a G.P. is a and (p-q)th term is b, determine its pth term.

The first term of G.P. is 27 and 8th term is 1/81 . Find the sum of its first 10 terms.

The third term of an A.P. is (1)/(5) and the 5th term is (1)/(3) . Show that the sum of 15 terms of the A.P. is 8.

If the first term of an A.P. is 2 and common difference is 4, then the sum of its first 40 terms is-

If the pth and qth terms of an A.P. be a and b respectively, show that the sum of first (p+q) terms of the A.P. is (p+q)/(2)(a+b+(a-b)/(p-q)) .

If the sum of p terms of an A.P. series is the same as that for q termsthen the sum of (p+q) terms of the seires is-

If the first term of an A.P. is – 18 and its 10th term is zero, then find its common difference.

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. The harmonic mean between two numbers is 21/5, their A.M. ' A ' and G....

    Text Solution

    |

  2. The mth term of a H.P is n and the nth term is m . Proves that its rth...

    Text Solution

    |

  3. The pth term of an A.P. is a and qth term is bdot Then find the sum o...

    Text Solution

    |

  4. If agt1,bgt1andcgt1 are in G.P., then show that 1/(1+log(e)a),1/(1+log...

    Text Solution

    |

  5. Solve the equation (x+1)+(x+4)+(x+7)+....+(x+28)=155.

    Text Solution

    |

  6. If a ,b ,a n dc be in G.P. and a+x ,b+x ,and c+x in H.P. then find the...

    Text Solution

    |

  7. The ratio of the sum of m and n terms of an A.P. is m^(2) :n^(2). Show...

    Text Solution

    |

  8. If first three terms of the sequence 1/16 ,a , b , 1/6 are in geometri...

    Text Solution

    |

  9. The sum of n ,2n ,3n terms of an A.P. are S1S2, S3, respectively. Prov...

    Text Solution

    |

  10. In a certain A.P., 5 times the 5th term is equal to 8 times the 8th ...

    Text Solution

    |

  11. If x is a positive real number different from 1, then prove that the n...

    Text Solution

    |

  12. Which term of the sequence 20 ,19 1/4, 18 1/2, 17 3/4,dot is the first...

    Text Solution

    |

  13. If Sn=n P+(n(n-1))/2Q ,w h e r eSn denotes the sum of the first n term...

    Text Solution

    |

  14. Find the sum sum(r=1)^n r(r+1)(r+2)(r+3)

    Text Solution

    |

  15. Find the sum sum(r=1)^n r/((r+1)!) where n!=1xx2xx3....n.

    Text Solution

    |

  16. Find the sum sum(r=1)^n r(r+1)(r+2)(r+3)

    Text Solution

    |

  17. Find the sum 1+1/(1+2)+1/(1+2+3)+..........+1/(1+2+3+.........+n)dot

    Text Solution

    |

  18. Find the sum to n terms of the series 1/(1 + 1^2 + 1^4) + 2/(1 + 2^2...

    Text Solution

    |

  19. Find the sum to n terms of the series 3//(1^2xx2^2)+5//(2^2xx3^2)+7//(...

    Text Solution

    |

  20. Find the sum sum(r=1)^n1/((a r+b)(a r+a+b))dot

    Text Solution

    |