Home
Class 12
MATHS
The sum of (1^(3))/(1)+(1^(3)+2^(3))/(1+...

The sum of `(1^(3))/(1)+(1^(3)+2^(3))/(1+2)+ (1^(3)+2^(3)+3^(3))/(1+2+3)+..` . upto 10 terms is

A

a.330

B

b.220

C

c.440

D

d.550

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|32 Videos

  • MATHEMATICAL REASONING

    HIMALAYA PUBLICATION|Exercise Question Bank|97 Videos

Similar Questions

Explore conceptually related problems

The sum of first 9 terms of the series : ( 1^(3))/( 1) + ( 1^(3) + 2^(3))/( 1+ 3) + ( 1^(3) + 2^(3) + 3^(3))/( 1+ 3+ 5)+"........." is :

The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)+(1^(3)+2^(3)+3^(3))/(1+3+5)+"........" is

The sum of 1^(st) n terms of the series (1^(2))/(1) + (1^(2) + 2^(2))/(1 + 2) + (1^(2) + 2^(2) + 3^(2))/(1 + 2 + 3) + ..

((1)/(2) . (2)/(2))/(1^(3))+((2)/(3) . (3)/(2))/(1^(3)+2^(3)) +((3)/(2) . (4)/(2))/(1^(3)+2^(3)+3^(3))+.. . . to n terms

(1)/(2 !)+(2)/(3 !)+(3)/(4 !)+.. .. to n terms =

If the sum of n terms of the series : (1)/( 1^(3)) +( 1+2)/( 1^(3) + 2^(3)) +(1+2+3)/(1^(3) + 2^(3) + 3^(3)) + "......." in S_(n) , then S_(n) exceeds 199 for all n greater than :

1+(1+2)/(2)+(1+2+3)/(3) +(1+2+3+4)/(4)+.. . to n terms =

1 . 2+2 . 3+3 . 4+.. .. to n terms =

The sum of the series, (1)/(2.3) .2 + (2)/(3.4).2^(2) + (3)/(4.5).2^(3) + ….to n terms is

HIMALAYA PUBLICATION-MATHEMATICAL INDUCTION AND SUMMATION OF SERIES-Question Bank
  1. 1+(1+2)/(2)+(1+2+3)/(3) +(1+2+3+4)/(4)+.. . to n terms =

    Text Solution

    |

  2. The sum of first 9 terms of the series : 1^3/1+(1^3+2^3)/(1+3)+(1...

    Text Solution

    |

  3. The sum of (1^(3))/(1)+(1^(3)+2^(3))/(1+2)+ (1^(3)+2^(3)+3^(3))/(1+2+3...

    Text Solution

    |

  4. Sum to n terms of the series (1)/(2 . 5) +(1)/(5 . 8)+(1)/(8 . 11)+..=

    Text Solution

    |

  5. (1)/(1 . 3)+(1)/(3 . 5)+(1) /(5 . 7)+.. to n terms =

    Text Solution

    |

  6. If S(n) = (1)/(1.4)+(1)/(4.7) + (1)/(7.10) +……. to n terms, then lim(n...

    Text Solution

    |

  7. (1)/(1 . 4 . 7)+(1)/(4 .7 . 10)+(1)/(7 . 10 . 13)+.. . to n terms =

    Text Solution

    |

  8. Sum of the n terms of the series 1 . 2^(2)+2 . 3^(2)+3 . 4^(2)+..

    Text Solution

    |

  9. If t(n) denotes the nth term of the series : 2+3+6+11+18+"………." , th...

    Text Solution

    |

  10. Sum to n terms of the series1+3+7+13+.. .=

    Text Solution

    |

  11. Sum to n terms of the series3+15+35+63+.. ..

    Text Solution

    |

  12. The n^(th ) term of the series 1+5+12+22+35+.. ..

    Text Solution

    |

  13. Sum to n terms of the series2+6+12+20+.. is,

    Text Solution

    |

  14. Sum of n terms of the series 1+2 x+3 x^(2)+4 x^(3)+..,(x ne 1) is

    Text Solution

    |

  15. Sum of 25 terms of the series 1+(2)/(2)+(3)/(2^(2))+(4)/(2^(3))+.. ....

    Text Solution

    |

  16. Sum of 25 terms of the series 1+2 . 2+3 . 2^(2)+4 . 2^(3)+5 . 2^(4)+...

    Text Solution

    |

  17. The n^(th ) term of the series 1+4+13+40+.. .is

    Text Solution

    |

  18. 3+5+7+ …..to n^(th) term is

    Text Solution

    |

  19. The n^(th ) term of the series4+13+28+49+.. . Is

    Text Solution

    |

  20. The sum 1^(2)+1+2^(2)+2+3^(2)+3+..+n^(2)+n is

    Text Solution

    |