Home
Class 11
MATHS
A sequence is given {an} by an=n^2-1, n ...

A sequence is given `{a_n}` by `a_n=n^2-1, n in N` show that it is not an AP.

Promotional Banner

Topper's Solved these Questions

  • Relations and Functions

    MAXIMUM PUBLICATION|Exercise EXAMPLE|104 Videos

  • SETS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|115 Videos

Similar Questions

Explore conceptually related problems

The n^(th) term of a sequence is given by a_n=2n+7 . Prove that the. sequence is an A.P. Also find its common difference.

The n^(th) term of a sequence is given by a_n=4n+7 List the first 4 terms of the sequence

Consider a sequence whose sum to n terms is given by S_n=2n^2+4n Is the sequence an A.P? If yes, find the common difference of the AP.

The n^(th) term of a sequence is given by a_n=4n+7 Is the sequence an A.P?. If yes, find the common difference of the A.P

Find the sum to n terms of a series is 7n^2-5n . Show that it is an AP and find the 15^th term.

Consider a sequence whose sum to n terms is given by S_n=2n^2+4n Find a_n

Let the sequence a_n be defined as a_1=1, a_n=a_(n-1)+2 for n ge 2 . Find first five terms and write corresponding series.

The Fibonacci sequence is defined by 1=a_1=a_2 and a_n=a_(n-1)+a_(n-2),ngt2 . Find (a_(n+1)/a_n) for n=1,2,3,4,5

The expressions for the sum to 'n' terms of some arithmetic sequences are given below. Find the expression for the n^(th) term of each: i) n^(2)+2 n ii) 2n^(2)+n iii) n^(2)-2n iv) 2n^(2)-n v) n^(2)-n

Find a_17 and a_24 if a_n=4n-3

MAXIMUM PUBLICATION-SEQUENCE AND SERIES-EXAMPLE
  1. Find the n^th term of the sequence 5,2,-1,-4,-7,…

    Text Solution

    |

  2. Find the n^th term of the sequence 12,7,2,-3,-8,…..

    Text Solution

    |

  3. A sequence is given {an} by an=n^2-1, n in N show that it is not an AP...

    Text Solution

    |

  4. Find the sum to 15 terms of the AP 3,7,11,……

    Text Solution

    |

  5. Find the sum to 20 terms of the AP 10,7,4,……

    Text Solution

    |

  6. Find the sum to 81 terms of the AP-1, 1/4,3/2,……

    Text Solution

    |

  7. Insert 6 arithmetic means between 3 and 24.

    Text Solution

    |

  8. If the n^th term of a GP -2,4,-8,,16,…… is 1024. Find n.

    Text Solution

    |

  9. If the n^th term of a GP 2,2sqrt2,4,…… is 64. Find n.

    Text Solution

    |

  10. Find the sum of first 20 terms of the GP sqrt3,2sqrt3,4sqrt3,8sqrt3,...

    Text Solution

    |

  11. In a GP {an}, if a1=3,an=96 and Sn=189. Find common ration and n.

    Text Solution

    |

  12. Find the sum to n terms of the question: 9+99+999+…..

    Text Solution

    |

  13. Find the sum to n terms of the question: 4+44+444+…..

    Text Solution

    |

  14. The third term of a GP is 4. Find the product of the first five terms.

    Text Solution

    |

  15. Insert 4 geometric means between 4 and 972.

    Text Solution

    |

  16. Find the sum to infinity of this geometric progression. 1,1/2,1/2^2,...

    Text Solution

    |

  17. Find the sum to infinity of this geometric progression. 5,20/7,80/49...

    Text Solution

    |

  18. The 10^th term of an AP is 73 and the 20^thterm is 43. Find the 44^th ...

    Text Solution

    |

  19. The 7^th term of an AP is 34 and the 15^thterm is 74. Find the 40^th t...

    Text Solution

    |

  20. Find the sum of 32 terms of an AP whose third term is 1 and the 6^th t...

    Text Solution

    |