Home
Class 11
MATHS
The n^(th) term of the sequence 1, 2, 4,...

The `n^(th)` term of the sequence 1, 2, 4, 7, 11, … is

A

`n^(3)+3n^(2)+2n`

B

`n^(3)-3n^(2)+3n`

C

`(n(n+1)(n+2))/3`

D

`(n^(2)-n+2)/2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS|10 Videos

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    SURA PUBLICATION|Exercise EXERCISE 5.4|17 Videos

  • BASIC ALGEBRA

    SURA PUBLICATION|Exercise SECTON - D (5 MARKS)|5 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section - D)|5 Videos

Similar Questions

Explore conceptually related problems

The n^(th) term of the sequence 1/2, 3/4, 7/8, 15/16 is ...................

The n^(th) term of the sequence 4, 7, 12, 19, … is

The n^(th) term of the sequence 2, 7, 14, 23, ….is:

The 100^(th) term of the sequence 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, ……. is

The n^(th) term of the sequence 1/2,3/4,7/8,15/16,... is

The n^(th) term of the sequence 0,2,6,12,20, ….. Can be expressed as …..

The 8th term of the sequence 1,1,2,3,…… is ……….

Let f(n) denote the n^(th) terms of the seqence of 3,6,11,18,27,…. and g(n) denote the n^(th) terms of the seqence of 3,7,13,21,…. Let F(n) and G(n) denote the sum of n terms of the above sequences, respectively. Now answer the following: lim_(ntooo)(f(n))/(g(n))=

Write the n^(th) term of the following sequences. 2, 2, 4, 4, 6, 6, ___

SURA PUBLICATION-BINOMIAL THEOREM, SEQUENCES AND SERIES-EXERCISE 5.5
  1. The value of 2 + 4 + 6 + ….+ 2n is

    Text Solution

    |

  2. The coefficient of x^(6) in (2+2x)^(10) is

    Text Solution

    |

  3. The coefficient of x^(8)y^(12) in the expansion of (2x+3y)^(20) is

    Text Solution

    |

  4. If ""^(n)C(10)gt""^(n)C(r) for all possible r, then a value of n is

    Text Solution

    |

  5. If a is the arithmetic mean and g is the geometric mean of two numbers...

    Text Solution

    |

  6. If a, 8, b are in AP, a, 4, b are in GP, and if a, x, b are in HP then...

    Text Solution

    |

  7. The sequence 1/sqrt3,1/(sqrt3+sqrt2),1/(sqrt3+2sqrt2),... form an

    Text Solution

    |

  8. The HM of two positive numbers whose AM and GM are 16, 8 respectively ...

    Text Solution

    |

  9. If S(n) denotes the sum of n terms of an AP whose common difference is...

    Text Solution

    |

  10. The remainder when 38^(15) is divided by 13 is

    Text Solution

    |

  11. The n^(th) term of the sequence 1, 2, 4, 7, 11, … is

    Text Solution

    |

  12. The sum up to n terms of the series 1/(sqrt1+sqrt3)+1/(sqrt3+sqrt5)+1/...

    Text Solution

    |

  13. The n^(th) term of the sequence 1/2,3/4,7/8,15/16,... is

    Text Solution

    |

  14. Sum of first 'n' terms of the series sqrt(2)+sqrt(8)+sqrt(18)+… is .

    Text Solution

    |

  15. The value of the series 1/2+7/4+13/8+19/16+... is

    Text Solution

    |

  16. The sum of an infinite GP is 18. If the first term is 6, the common ra...

    Text Solution

    |

  17. The coefficient of x^(5) in the series e^(-2x) is

    Text Solution

    |

  18. The value of 1/(2!)+1/(4!)+1/(6!)+... is

    Text Solution

    |

  19. The value of 1-1/2(2/3)+1/3(2/3)^(2)-1/4(2/3)^(3)+... is

    Text Solution

    |