Home
Class 11
MATHS
Write the first five terms of the sequen...

Write the first five terms of the sequence in the corresponding series.
`a_1=-1, a_n=a_(n-1)/n, n ge 2`

Text Solution

Verified by Experts

Given `a_1=-1`
`a_2=a_1/2=-1/2, a_3=a_2/3=-1/2/3=-1/6, a_4=a_3/4=-1/6/.4=-1/24, a_s=a_4/5=-1/24/5=-1/120`
The required,series is `-1, -1/2, -1/6, -i/24, -1/120, . . .`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    V PUBLICATION|Exercise QUESTIONBANK|79 Videos

  • SETS

    V PUBLICATION|Exercise QUESTION BANK|116 Videos

Similar Questions

Explore conceptually related problems

Write the first five terms of each of the sequences in the corresponding series. a_1=3, a_n=3 a_(n-1)+2 for all n gt 1

Write the first five terms of the sequence having the property a_1=-1a_n=(a_(n-1))/n,nge2 Also, obtain the corresponding series

Write the first five terms of the sequence if n^(t h) term is a_n=n(n+2)

Write the first five terms of the sequence if n^(t h) term is a_n=a/(n+1)

Write the first five terms of the sequence having the property a_1=a_2=2,a_n=a_(n-1)-1,ngt2 . Also, obtain the corresponding series.

Write the first four terms of the sequence whose nth term a_n=n/(n+1)

Write the first 5 terms of the sequence whose n^(th) term is given below a_n=2^n

Write the first three terms of the sequence defined by a_(1)= 2 ,a_(n+1) = (2a_(n)+3)/(a_(n)-:2)

Find the first 5 terms of the sequence having the property a_1=3,a_n=3a_(n-1)+2 for all ngt1 . Also obtain the corresponding series

Write the first 5 terms of each of the sequences whose n^(th) terms are given below a_n=n/(n+1)

V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. Find the indicated term in the sequence whose n^ (th) term is an=n(...

    Text Solution

    |

  2. Write the first five terms of each of the sequences in the correspondi...

    Text Solution

    |

  3. Write the first five terms of the sequence in the corresponding series...

    Text Solution

    |

  4. The Fibonacci sequence is defined by 1=a1=a2 and an=a(n-1)+a(n-2),ngt2...

    Text Solution

    |

  5. In an A.P. if m^ (th) term is n and the n^(th) term is m, where m ne ...

    Text Solution

    |

  6. If the sum of n terms of an A.P. is nP+1/2 n(n-1) Q, where P and Q are...

    Text Solution

    |

  7. The sum of n terms of two arithmetic progressions, are in the ratio (3...

    Text Solution

    |

  8. The income of a person is Rs. 300000 in the first year and he receives...

    Text Solution

    |

  9. Insert 6 arithmetic means between 3 and 24.

    Text Solution

    |

  10. Find the sum of odd integers from 1 to 2001

    Text Solution

    |

  11. Find the sum of all natural numbers between 100 and 1000 which are mul...

    Text Solution

    |

  12. In an A.P, the first term is 2 and the sum of the first five terms is ...

    Text Solution

    |

  13. How many terms of the A.P,-6 ,-11/2,-5,...are needed to give the sum -...

    Text Solution

    |

  14. If the m^th terms of an AP is 1/n and the n^th term is 1/m, prove that...

    Text Solution

    |

  15. If the sum of certain number of terms of the AP 25,22,19,........is 11...

    Text Solution

    |

  16. Find the sum of n terms of the AP, whose K^th term is ak=5K+1.

    Text Solution

    |

  17. If the sum of n terms of an A.P. is pn+qn^2, where p and q are constan...

    Text Solution

    |

  18. The sums of n terms of two A.P.s are in the ratio (5n + 4): (9n + 6). ...

    Text Solution

    |

  19. If the sum of p terms of an AP is the same as the sum of its q terms, ...

    Text Solution

    |

  20. The sum of the first p,q,r terms of an AP are a,b,c respectively, prov...

    Text Solution

    |