Home
Class 11
MATHS
P(n):2^n - 1, for n = ……………it is a prime...

`P(n):2^n - 1`, for n = ……………it is a prime number.

Text Solution

Verified by Experts

The correct Answer is:
`Y= {1, 2, 2^(2), 2^(3), 2^(4),"……….."2^(p-1), 2^(p)-1}`.
Promotional Banner

Topper's Solved these Questions

  • SETS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|17 Videos
  • SETS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (OBJECTIVE TYPE QUESTIONS)|14 Videos
  • SETS

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|44 Videos
  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Question of Module|19 Videos
  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

Similar Questions

Explore conceptually related problems

P(n) : 2n + 1 , for n = …………it is not a prime number.

P(n) : 4n + 1 , for n = ………….it is not a prime number

P(n):n^2 - n +41 , for n = ……, it is not prime number .

P(n) : 2^n gt n^2 , for n = ………it is true.

P(n) : 2^(2^n) + 1 is a prime number . For n = ………., it is not true .

Suppose P(n) : n^2 - n + 101 is prime number ....... is not true .

Statement-1: the highest power of 3 in .^(50)C_(10) is 4. Statement-2: If p is any prime number, then power of p in n! is equal to [n/p]+[n/p^(2)]+[n/p^(3)] + . . ., where [*] denotes the greatest integer function.

If S= {x |x is a positive multiple of 3 less than 100} and P= {x | x is a prime number less than 20} then n(S)+n(P) is equal to

For P(n):2^n = 0 ………..is true .

KUMAR PRAKASHAN-SETS-SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)
  1. Write the following sets in the roaster from. E= {w}(w-2)/(w+3)=3, w...

    Text Solution

    |

  2. Write the following sets in the roaster from. F= {x"/"x^(4)-5x^(2)+6...

    Text Solution

    |

  3. P(n):2^n - 1, for n = ……………it is a prime number.

    Text Solution

    |

  4. State which of the following statements are true and which are false. ...

    Text Solution

    |

  5. State which of the following statements are true and which are false. ...

    Text Solution

    |

  6. State which of the following statements are true and which are false. ...

    Text Solution

    |

  7. State which of the following statements are true and which are false. ...

    Text Solution

    |

  8. If L= {1, 2, 3, 4}, M= {3, 4, 5, 6} and N= {1, 3, 5}, then verify that...

    Text Solution

    |

  9. If A and B are subsets of the universal set cup, then show that, A s...

    Text Solution

    |

  10. If A and B are subsets of the universal set cup, then show that, A s...

    Text Solution

    |

  11. If A and B are subsets of the universal set cup, then show that, (A ...

    Text Solution

    |

  12. Given that N= {1, 2, 3, 4,……….., 100}. Then, write The subset of N w...

    Text Solution

    |

  13. Given that N= {1, 2, 3, 4,……….., 100}. Then, write The subset of N w...

    Text Solution

    |

  14. If X= {1, 2, 3}, if n represents any member of X, write the following ...

    Text Solution

    |

  15. If X= {1, 2, 3}, if n represents any member of X, write the following ...

    Text Solution

    |

  16. If X= {1, 2, 3}, if n represents any member of X, write the following ...

    Text Solution

    |

  17. If X= {1, 2, 3}, if n represents any member of X, write the following ...

    Text Solution

    |

  18. If Y= {1, 2, 3,………..,10} and a represents any element of Y, write the ...

    Text Solution

    |

  19. If Y= {1, 2, 3,………..,10} and a represents any element of Y, write the ...

    Text Solution

    |

  20. If Y= {1, 2, 3,………..,10} and a represents any element of Y, write the ...

    Text Solution

    |