Home
Class 12
MATHS
Determine the first five terms of the se...

Determine the first five terms of the sequence defined by, `u_(1) = 4` and `u_(n) = 3u_(n-1) + 2` for `n ge 2`. Also find the series of first five terms of the sequence.

Text Solution

Verified by Experts

The correct Answer is:
4, 14, 44, 134, 404 and `4+14+44+134+404`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Multiple Choice Questions)|12 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Very Short Answer Type Questions)|18 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 A (Multiple Choice Questions)|4 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

Determine the first four terms of the sequence defined by, u_(1) = -3, u_(n) = (1)/(n-1). u_(n-1) for n ge 2 . Also find the series of first five terms of the sequence.

Determine the first five terms of the sequence defined by, u_(1) = -2, u_(2) = 2 and u_(n) = (n)/(n-2)u_(n-1), n gt 2 .

Write the first three terms of the sequence defined by a_1= 2,a_(n+1)=(2a_n+3)/(a_n+2) .

Write the first five terms of the sequence defined by u_(n) = (-1)^(n)(n)/(3n+1) Also find the corresponding series in each case.

Write the first five terms of the sequence defined by u_(n) = 2n^(2) - 3n Also find the corresponding series in each case.

Write the first five terms of the sequence defined by u_(n) = (n)+(n+1) Also find the corresponding series in each case.

Find the first five terms of the sequence whose n th terms (u_(n)) is given by u_(n) = 3n^(2) -2

Write the first five terms of each of the sequences whose n^(th) terms are: a_(n) = (2n-3)/6

Write the first five terms of each of the sequences whose n^(th) terms are: a_n = n(n+2)

Write the first five terms of each of the sequences whose n^(th) terms are: a_n = 2^n

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 A (Very short Answer Type Questions)
  1. Write the first five terms of the sequence defined by u(n) = (n)+(n...

    Text Solution

    |

  2. Write the first five terms of the sequence defined by u(n) = (-1)^(...

    Text Solution

    |

  3. Write the first five terms of the sequence defined by u(n) = 2n^(2)...

    Text Solution

    |

  4. Find the 6th and rth terms of the sequence {1, 8, 27, 64,..}.

    Text Solution

    |

  5. Prepare a series to first n terms of the sequence {(1)/(5),(1)/(7), (1...

    Text Solution

    |

  6. Find the 11th term of the sequence {(1)/(2), (1)/(3), (1)/(5), (1)/(8)...

    Text Solution

    |

  7. Find the 25th and 50th terms of the sequence whose nth terms is given ...

    Text Solution

    |

  8. Write the series Sigma(r=1)^(n) (r^(2)+1)/(2r^(2) - 1) in expanded for...

    Text Solution

    |

  9. Determine the first five terms of the sequence defined by, u(1) = -2, ...

    Text Solution

    |

  10. Write the series (3)/(2)+1 + (7)/(10) + (9)/(17) +…+(2r+1)/(r^(2) + 1)...

    Text Solution

    |

  11. Determine the first five terms of the sequence defined by, u(1) = 4 an...

    Text Solution

    |

  12. Write the series Sigma(r=1)^(n) (2r+1)/(r^(2) + 1) in expanded form.

    Text Solution

    |

  13. If S(n) = u(1) +u(2) + ….+ u(n) = n^(2) + 2n, find the first four term...

    Text Solution

    |

  14. If the rth term of the sequence {u(n)} is u(r) = (-1)^(r-1). 3^(2-r), ...

    Text Solution

    |

  15. The sum of first r terms of a series is ar^(2) + br, find the first an...

    Text Solution

    |

  16. For the sequence {u(n)} if u(1) - 2 and u(r+1) = u(r) +r+2, for all na...

    Text Solution

    |

  17. For the sequence {u(n)} if u(1) = (1)/(4) and u(n+1) = (u(n))/(2+u(n))...

    Text Solution

    |

  18. Find the least value of n, for which the nth term a(n) of the sequence...

    Text Solution

    |

  19. A sequence whose nth term is given by a(n) = 2n^(2) + pn - 3p^(2) is s...

    Text Solution

    |