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

445

B

446

C

447

D

448

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES LEVEL-2 (Single Correct Answer Type Questions)|11 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES (Numerical Answer Type Questions)|19 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISES CONCEPT-BASED (Single Correct Answer Type Questions)|15 Videos

  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

The sum of the 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 9terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)+(1^(3)+2^(3)+3^(3))/(1+2+3)+.... is (1)71(2)96 (3) 142(4)192

Sum up to 16 terms of the series (1^(3))/(1) + (1^(3) + 2^(3))/(1 + 3) + (1^(3) + 2^(3) + 3^(3))/(1 + 3 + 5) + .. is

The n^(th) term of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)+(1^(3)+2^(3)+3^(3))/(1+3+5)+... will be

Find the sum of first n terms of the series 1^(3) + 3^(3) + 5^(3) +…

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

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

Sum of the n terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^(2)+2^(2)+3^(3))+"......." is

Sum to n terms of the series 1^(3) - (1.5)^(3) +2^(3)-(2.5)^(3) +…. is

MCGROW HILL PUBLICATION-PROGRESSIONS-EXERCISES LEVEL-1 (Single Correct Answer Type Questions)
  1. Suppose (1)/(2)x, lx,+1l,lx-1l,1l are in A.P., then sum to 10 terms of...

    Text Solution

    |

  2. Let the harmonic mean and geometric mean of two positive numbers be in...

    Text Solution

    |

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

    Text Solution

    |

  4. If log(a+c)+log(a+c-2b)=2log(a-c) then

    Text Solution

    |

  5. The sum of intergers from 1 to 100 that are divisible by 2 or 5 is -

    Text Solution

    |

  6. The common difference d of the A.P. in which T(7) = 9 and T(1)T(2)T(7)...

    Text Solution

    |

  7. The numbers 3^(2sin2alpha-1),14and3^(4-2sin2alpha) form first three te...

    Text Solution

    |

  8. Sum of first 'n' terms of the series 3/2+5/4+9/8+17/16+...

    Text Solution

    |

  9. The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...

    Text Solution

    |

  10. Find the sum series: tan^-1 (1/3)+tan^-1 (1/7)+tan^-1(1/13)+…to oo

    Text Solution

    |

  11. FInd the sum of infinite terms of the series 1/(1.2.3)+1/(2.3.4)+1/(3...

    Text Solution

    |

  12. If n!, 3n! and (n-1)! are in G.P then n!, 5n! and (n+1)! are in

    Text Solution

    |

  13. If S(n)=81+54+36+24+.. upto n terms, then value of x=(S(n)-4S(n-1)+6S(...

    Text Solution

    |

  14. The sum of first 'n' terms of the series 1^2+(1)(2)+3^2+(3)(4)+5^2+(5)...

    Text Solution

    |

  15. If L = underset( n rarr oo)lim (1+3^(-1))(1+3^(-2))+(1+3^(-4))+(1+3^(-...

    Text Solution

    |

  16. If a1,a2,a3,.......an, are 'n', distinct odd natural numbers, not divi...

    Text Solution

    |

  17. Coefficient of x^(99) in the expansion of (x-1) (x-3)(x-5)..(x-1999) i...

    Text Solution

    |

  18. Find the sum to n terms of the series 1 + (1 + 2) + (1 + 2 + 3) + .......

    Text Solution

    |

  19. If x= overset(oo)underset(n =0)Sigma a^(n),y= overset(oo)underset(n=0)...

    Text Solution

    |

  20. If the sum of an infinite decreasing G.P. is 3 and sum of the cubes of...

    Text Solution

    |