Home
Class 11
MATHS
Show that for a set of first n (le 2) na...

Show that for a set of first `n (le 2)` natural number `n < [n+1/2]^n`

Promotional Banner

Topper's Solved these Questions

  • Question Paper 2016

    UNITED BOOK HOUSE|Exercise Exercise |37 Videos

  • Question Paper 2018

    UNITED BOOK HOUSE|Exercise Exercise |39 Videos

Similar Questions

Explore conceptually related problems

Mean of first n natural numbers is

The S.D of the first n natural numbers is

The sum of the squares of first n natural numbers is -

Prove by mathematical induction that the sum of the squares of first n natural numbers is 1/6n(n+1)(2n+1) .

The sum of the cubes of first n natural numbers is -

Find the median of first n-natural numbers.

If sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers, then k =

There are natural numbers. Answer the following questions considering first natural numbers. Mean of first n natural number is -

Find the average of first n-natural numbers.

Find the variance of first n natural numbers.

UNITED BOOK HOUSE-Question Paper 2017-Exercise
  1. Define Real Wage.

    Text Solution

    |

  2. State the Factor Reversal Test of index number.

    Text Solution

    |

  3. Show that for a set of first n (le 2) natural number n < [n+1/2]^n

    Text Solution

    |

  4. What is the difference between cross sectional data and Time series da...

    Text Solution

    |

  5. If A and B are two events then show that P(B) = P(A). P(B/A) + P(A^C)....

    Text Solution

    |

  6. If A^c and B^c are two independent events, then show that A and B are ...

    Text Solution

    |

  7. x and y are two variables, such that y = (3)^(1/x). If the harmonic me...

    Text Solution

    |

  8. What are the differences between primary data and secondary data?

    Text Solution

    |

  9. What is mail questionnaire method? When this method is useful?

    Text Solution

    |

  10. If two positive values of a variable be x(1) and x(2) and the arithmet...

    Text Solution

    |

  11. State and prove that Cauchy-Schwarz inequality.

    Text Solution

    |

  12. Derive the expression of 4th order central moments in terms of raw mom...

    Text Solution

    |

  13. If three numbers are drawn are drawn at random from the frist 30 natur...

    Text Solution

    |

  14. The harmonic mean of 4,8,16 is

    Text Solution

    |

  15. What is Family budget enquiry?

    Text Solution

    |

  16. What is real life application of Life Table?

    Text Solution

    |

  17. State Lagrange's interpolation formula.

    Text Solution

    |

  18. If s and R are respectively the standard deviation and range of set of...

    Text Solution

    |

  19. Prove that mean deviation will be minimum when deviation are taken fro...

    Text Solution

    |

  20. A problem of Statistics is given to three students A, B and C, where c...

    Text Solution

    |