Home
Class 12
MATHS
The sum of first 9 terms of the series :...

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 `:`

A

`(n+1)/(4)`

B

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

C

` ((n+1)^(2))/(6)`

D

` ((n+1)^(2))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
A
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 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) + ..

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 :

The sum of n terms of the series 1+(1+3)+(1+3+5)+.. .. .. is

The sum of first 10 terms of the series : (x+(1)/( x))^(2) + ( x^(2) + ( 1)/( x^(2)))^(2) + ( x^(3)+ ( 1)/( x^(3)))^(2) + "......" is :

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

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

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

Find the sum to n terms of the series . 3 xx 1^(2) + 5 xx 2^(2) + 7 xx 3^(2) + . . . . . .

Sum to n terms of the series 1+3+7+13+.. .=

The sum of n terms of the series : (1)/( 1.2.3.4) + ( 1)/( 2.3.4.5) + ( 1) / ( 3.4.5.6.)+"......." is :

HIMALAYA PUBLICATION-MATHEMATICAL INDUCTION AND SUMMATION OF SERIES-Question Bank
  1. sum(n=1)^(n) (1)/((4 n-1)(4 / t+3))=

    Text Solution

    |

  2. If 1+x^(2)=sqrt(3)x, then sum(n=1)^(24)(x^(n)-(1)/(x^(n)))^(2) equals

    Text Solution

    |

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

    Text Solution

    |

  4. (1)/(1 . 4)+(1)/(4 . 7)+(1)/(7 . 10)+.. .. .. ..=

    Text Solution

    |

  5. 1+(3)/(2)+(5)/(2^(2))+(7)/(2^(3))+.. .. to infty=

    Text Solution

    |

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

    Text Solution

    |

  7. (1)/(2 !)+(2)/(3 !)+(3)/(4 !)+.. .. to n terms =

    Text Solution

    |

  8. Sum of 10 terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1+2...

    Text Solution

    |

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

    Text Solution

    |

  10. Sum of 25 terms of the series 1 . 3+2 . 5+3 . 7+.., is

    Text Solution

    |

  11. If the natural numbers are divided into the groups (1),(2,3),(4,5,6),(...

    Text Solution

    |

  12. If (sum n^(3))(sum n)=(sum n^(2))^(2), then

    Text Solution

    |

  13. 4^(3)+5^(3)+6^(3)+.. .+10^(3)=

    Text Solution

    |

  14. 3+5+7+ …..to n^(th) term is

    Text Solution

    |

  15. ((1)/(2) . (2)/(2))/(1^(3))+((2)/(3) . (3)/(2))/(1^(3)+2^(3)) +((3)/(2...

    Text Solution

    |

  16. The 10^(th ) term of the series 3+13+29+51+79+.. ..

    Text Solution

    |

  17. Sum to 30 terms of 3+4+8+9+13+14+18+19+.. is

    Text Solution

    |

  18. The greatest positive integer, which divides (n+1)(n+2)(n+3)(n+4) for ...

    Text Solution

    |

  19. The sum of cubes of three successive natural numbers is divisible by

    Text Solution

    |

  20. Product of 4 consecutive natural numbers is divisible by

    Text Solution

    |