Home
Class 11
MATHS
Prove that a sequence in an A.P., if the...

Prove that a sequence in an A.P., if the sum of its `n` terms is of the form `A n^2+B n ,w h e r eA ,B` are constants.

Text Solution

Verified by Experts

The correct Answer is:
No
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (d) SATQ|7 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (e) LATQ|8 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (c) SATQ|7 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos

  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

Prove that a sequence in an A.P.if the sum of its n terms is of the form An^(2)+Bn, where A,B are constants.

State 'T' for true and 'F' for false . I. A sequence is an A.P ., if and only if the sum of its n terms is of the form An^(2) +Bn , where A and B are constants . II. If 18, a, b , -3 are in A.P., then a+b = 15 . III If a,c,b are in A.P., then 2c=a+b . IV .The n^(th) term from the end of an A.P. is the (m-n+1)^(th) term from the beginning , where m terms are in A.P.

(vi)A sequence is an AP if the sum of its first n terms is of the form An^(2)+Bn where A and B are constants independent of n. In such a case the common difference is 2A

Write the n t h term of an A.P. the sum of whose n terms is S_n .

In an A.P., th e sum of its first n terms is 6n-n^(2). Find its 25 th term.

The nth term of an A.P. is (5n-1). Find the sum of its 'n' terms.

If the n^(th) term of an A.P.is (2n+1), find the sum of first n terms of the A.P.

If the sum of n terms of an A.P is 2n+3n^(2) , find the r^(th) term

If the sum of n terms of an AP is n^2-2n then find its n^(th) term

If the sum of first n terms of an A.P. is 3n^(2)-2n , then its 19th term is

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE 9 (c) LATQ
  1. (i) If the sum of a certain number of terms of the A.P. 25,22,19,……………...

    Text Solution

    |

  2. If the first term of an A.P. is 2 and the sum of the first five terms ...

    Text Solution

    |

  3. If 12th term of an A.P. is -13 and the sum of the first four terms ...

    Text Solution

    |

  4. (i) Show that the sum of n consecutive odd integers beginning with 1 e...

    Text Solution

    |

  5. (i) Find the sum of odd integers from 1to 2001. (ii) Find the sum of...

    Text Solution

    |

  6. How many terms are there in the A.P. whose first and fifth terms are ...

    Text Solution

    |

  7. Prove that a sequence in an A.P., if the sum of its n terms is of the ...

    Text Solution

    |

  8. If the 5th and 12th terms of an A.P. are 30 and 65 respectively, wh...

    Text Solution

    |

  9. If the first term a(1) of an A.P. is 22, the common difference d=-4 an...

    Text Solution

    |

  10. If the sum of first p terms of an A.P. is equal to the sum of the firs...

    Text Solution

    |

  11. The first and last terms of an AP are a and l respectively. If S be th...

    Text Solution

    |

  12. In an A.P. of which a is the first term if the sum of the first p term...

    Text Solution

    |

  13. (i) The sum of n terms of two arithmetic series are in the ratio of (7...

    Text Solution

    |

  14. A man saves Rs. 3200 during the first year, Rs. 3600 in the next year ...

    Text Solution

    |

  15. A gentleman buys every year Bank's certificates of value exceeding the...

    Text Solution

    |

  16. a. If in an A.P. S(1)=6 and S(7)=105 prove that : S(n),S(n-3)::(n+3)...

    Text Solution

    |

  17. if the pth term of an A.P. is x and qth term is y, show tht the sum of...

    Text Solution

    |