Home
Class 11
MATHS
The value of the sum in the 50^( th) br...

The value of the sum in the `50^( th)` bracket of `(1) + (2+3) + ( 4+ 5+ 6) + ( 7+8+ 9 + 10) + …` is

A

`62525`

B

`65225`

C

`56225`

D

`55625`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos

Similar Questions

Explore conceptually related problems

Sum of n^( th) bracket of (1) + (2+ 3+4) + ( 5+ 6+ 7+ 8+9) + ….. is

Find the 5^("th")" term of "(7+(8y)/(3))^(7//4) .

The sum of the 4^(th) and 8^(th) terms of an AP is 24 and the sum of the 6^(th) and 10^(th) terms is 44. find the first three terms of the AP.

The volume of the tetrahedron formed by (1,2,3), (4,3,2), (5,2,7),(6,4,8) is

If mode of the following data is 7, then the value of 6, 3, 5, 6, 7, 5, 8, 7, 6, 2k + 1, 9, 7, 13 is

The sum of the series 1+ (2)/(3)((1)/(8)) + (2 xx 5 xx 8)/(3 xx 6 xx 9) ((1)/(8))^(3) +… is

The sum of the series 1 + (5)/(2) + (9)/(4) + (13)/(8) + ….. is

Divide the sum of -(1)/(4) and (9)/(8) by the product of -(13)/(6) and -5/2 .

The average value of the median of 2,8,3,7,4,6,7 and the mode of 2,9,3,4,9,6,9 is

Find the mode of the following data. a) 5, 6, 9, 10, 6, 12, 3, 6, 11, 10, 4, 6, 7. b) 20, 3, 7, 13, 3, 4, 6, 7, 19, 15, 7, 18, 3. c) 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6.

AAKASH SERIES-MATHEMATICAL INDUCTION-PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)
  1. The value of the sum in the 50^( th) bracket of (1) + (2+3) + ( 4+ 5+...

    Text Solution

    |

  2. Let P(n) denote the statement that n^(2) +n is odd. It is seen that P(...

    Text Solution

    |

  3. The statement P(n) (1xx1!) + (2 xx2!) + (3 xx 3!) + … …. + (nxx n!) = ...

    Text Solution

    |

  4. If P(n) be the statement n (n+1)+1 is an integer, then which of the fo...

    Text Solution

    |

  5. n gt 1, n even rArr digit in the units place of 2^(2n)+1

    Text Solution

    |

  6. log ( x )^(n) = n .log x is true for n.

    Text Solution

    |

  7. If 2^(3) + 4^(3) + 6^(3) + … + (2n)^(3) = kn^(2) ( n+1)^(2) then k=

    Text Solution

    |

  8. 4^(3) + 5^(3) + 6^(3) + … + 10^(3)

    Text Solution

    |

  9. Sum of the series S=t^(2) - 2^(2) + 3^(2) - 4^(2) + …... - 2002^(2) + ...

    Text Solution

    |

  10. (sumn^(3) ) ( sumn) = (sumn^2) ^2 if

    Text Solution

    |

  11. n^( th) term of the series 4+14+ 30 + 52+ …..

    Text Solution

    |

  12. If 1+ 5+ 12+ 22 + 35+ ….. + to n terms = ( n^(2) (n+1) )/(2) then n^...

    Text Solution

    |

  13. 1+ 3+ 7 + 15…n terms =

    Text Solution

    |

  14. 1^(2) + 3^(2) + 5^(2) + …. upto n terms =

    Text Solution

    |

  15. 2+ 3.2 + 4.2^(2) + …... upto n terms =

    Text Solution

    |

  16. (1^(2) )/( 1) + (1^(2) + 2^(2) )/(1+2) + (1^(2) + 2^(2) + 3^(2) )/( 1...

    Text Solution

    |

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

    Text Solution

    |

  18. 0.2 + 0.22 + 0.222+ …. upto n terms is equal to

    Text Solution

    |

  19. 2+7+14+…..+ (n^(2) + 2n-1)=

    Text Solution

    |

  20. 1.6 + 2.9+ 3.12+ ….. + n ( 3n+3)=

    Text Solution

    |

  21. 2.4 + 4.7 + 6.10+ …. upto (n-1) terms=

    Text Solution

    |