Home
Class 11
MATHS
Sum the following upto n terms : 1+(1+...

Sum the following upto n terms :
`1+(1+x)+(1+x+x^2)+(1+x+x^2+x^3)+ ` .....

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

  • SETS

    MODERN PUBLICATION|Exercise EXERCISE|381 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limit : lim_(x rarr 1)[(x-2)/(x^2-x) -1/(x^3-3x^2+2x)] .

Solve the following equations. cos^-1((1-x^2)/(1+x^2)) + tan^-1 ((2x)/(1-x^2)) = (2pi)/3, 0 le x < 1

Solve the following equation for x : 3sin^(-1)(2x)/(1+x^2)-4cos^(-1)(1-x^2)/(1+x^2)+2tan^(-1)(2x)/(1-x^2)=pi/3

Integrate the following functions: (3x^2+4x+1)/((x+2)(x^2+1))

Find the sum to n terms of the series : (x+1/x)^2+(x^2 + 1/x^2)^2+ (x^3 + 1/x^3)^2+ ...... .

Evaluate the following limit : lim_(x rarr 1)(1/(x^2+x-2)-x/(x^3-1)) .

Integrate the following functions: x^2/((x-1)^3(x+1))

Examine the following functions for continuity: f(x) = {:{((x^2/2), if 0 le x le 1),(2x^2 - 3x + 3/2, if 1 < x le 2):} at x = 1

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Sum the following upto n terms : 1+(1+x)+(1+x+x^2)+(1+x+x^2+x^3)+ ....

    Text Solution

    |

  2. Write the first three terms of the sequence defined by the following :...

    Text Solution

    |

  3. Write the first five terms of the sequences given below whose nth term...

    Text Solution

    |

  4. Write the first five terms of the following functions whose nth terms ...

    Text Solution

    |

  5. Write the first four terms of the following sequence whose nth terms a...

    Text Solution

    |

  6. Write the first four terms of the following sequence whose nth terms a...

    Text Solution

    |

  7. Write the first four terms of the following sequence whose nth terms a...

    Text Solution

    |

  8. Write the first four terms of the following sequence whose nth terms a...

    Text Solution

    |

  9. Write the first four terms of the following sequence whose nth terms a...

    Text Solution

    |

  10. Write the first five terms of the following sequence whose nth terms a...

    Text Solution

    |

  11. Write the first five terms of the following sequence whose nth terms a...

    Text Solution

    |

  12. Write the first five terms of the following sequence whose nth terms a...

    Text Solution

    |

  13. Write the first five terms of the sequences given below whose nth term...

    Text Solution

    |

  14. Write the first five terms of the sequences given below whose nth term...

    Text Solution

    |

  15. What is the 19th term of the sequence : a(n) = (n(n-2))/(n+3)?

    Text Solution

    |

  16. Find the term indicated in the following case : t(n)=4^(n)+n^(2)-n+1...

    Text Solution

    |

  17. Find the term indicated in the following case : h(n)=n^(2)-3n+4, h(1...

    Text Solution

    |

  18. Find the term indicated in the following case : an= n^2/2^n , a7.

    Text Solution

    |

  19. Find the term indicated in the following case : an= (-1)^(n-1) n^3 ,...

    Text Solution

    |

  20. Find the term indicated in the following case : an= (n(n-2))/(n-3), ...

    Text Solution

    |

  21. Find the first five terms of the sequence and write corresponding seri...

    Text Solution

    |