Home
Class 11
MATHS
Using principle of mathematical inductio...

Using principle of mathematical induction prove that `n(n+1)(n+5)` is a multiple of 3 for all `n in N`.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER MARCH 18

    MAXIMUM PUBLICATION|Exercise EXAMPLE|45 Videos

  • QUESTION PAPER MARCH 20

    MAXIMUM PUBLICATION|Exercise EXAMPLE|36 Videos

Similar Questions

Explore conceptually related problems

Using mathematical induction prove that 41^n-14^n is a multiple of 27 for all n in N

Using mathematical induction prove that 10^(2n-1)+1 is divisible by 11 for all n in N

Using mathematical induction prove that x^(2n)-y^(2n) is divisible by x+y for all n in N

Consider the following statement: P(n):a+ar+ar^2+……+ar^(n-1)=(a(r^n-1))/(r-1) Hence by using the principle of mathematical induction, prove that P(n) is true for all natural numbers n .

Consider the statement P(n):1+3+3^2+...+3^(n-1)=(3^n-1)/2 .Prove by principle of mathematical induction,that P(n) is true for all n inN

Using the principle of Mathematical induction,prove that 10^(2n-1)+1 is divisible by 11.

Consider the statement '' P(n):x^n-y^n is divisible by x-y ''. Using the principal of Mathematical induction verify that P(n) is true for all natural numbers.

Using mathematical induction prove that (2n+7) lt (n+3)^2 for all n in N

Prove the following by using the principle of mathematical induction, n(n+1)(n+5) is a multiple of 3.

(b)Prove by the principle of mathematical induction that 3^n>2^n.

MAXIMUM PUBLICATION-QUESTION PAPER MARCH 19-EXAMPLE
  1. Consider the set A={-1,1} Consider all elements in AtimesA.

    Text Solution

    |

  2. Consider the set A={-1,1} How many relations are there from A to A?

    Text Solution

    |

  3. Using principle of mathematical induction prove that n(n+1)(n+5) is a ...

    Text Solution

    |

  4. If z is a complex number with absz=2 and arg(z)=(4pi)/3, then express ...

    Text Solution

    |

  5. If z is a complex number with absz=2 and arg(z)=(4pi)/3. then Find ove...

    Text Solution

    |

  6. If z is a complex number with absz=2 and arg(z)=(4pi)/3. then Verify...

    Text Solution

    |

  7. Seven cards are drawn from a pack of well shuffled 52 playing cards. ...

    Text Solution

    |

  8. Seven cards are drawn from a pack of well shuffled 52 playing cards. ...

    Text Solution

    |

  9. Seven cards are drawn from a pack of well shuffled 52 playing cards. ...

    Text Solution

    |

  10. Write the contrapositive of the given statement. "If a number is div...

    Text Solution

    |

  11. Verify by the method of contradiction. p: sqrt7 is irrational.

    Text Solution

    |

  12. Consider the word ASSASSINATION How many different ways can the lett...

    Text Solution

    |

  13. Consider the word ASSASSINATION How many of these words have all vow...

    Text Solution

    |

  14. Let A (0,7,10), B (-1,6,6,) and C (-4,9,6) are the vertices of a trian...

    Text Solution

    |

  15. Let A (0,7,10), B (-1,6,6,) and C (-4,9,6) are the vertices of a trian...

    Text Solution

    |

  16. The figure shows a unit circle and a line L which makes 30° with the p...

    Text Solution

    |

  17. Consider two lines L1:2x+y=4 and L2:(2x-y=2).Find the angle between L1...

    Text Solution

    |

  18. Consider two lines L1:2x+y=4 and L2:(2x-y=2) Find the equation of ...

    Text Solution

    |

  19. Consider two lines L1:2x+y=4 and L2:(2x-y=2) Find the equation of ...

    Text Solution

    |

  20. If an ellipse passing through (3,1) having foci(+-4,0), then find the...

    Text Solution

    |