Home
Class 11
MATHS
Let n be an odd natural number greater ...

Let `n` be an odd natural number greater than 1. Then , find the number of zeros at the end of the sum `99^n+1.`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

Find the number of zeros at the end of 130!.

Find the number of zeros at the end of 100! ?

Median of 1st n natural numbers is

The variance of first n natural numbers is 44. Find the value of n.

variance of 1st n natural number is

If the variance of lst.n even natural numbers is 65, find the value of n

In an A.P. of 99 terms, the sum of all the odd-numbered terms is 2550. Then find the sum of all the 99 terms of the A.P.

The sum of the cubes of 1st n natural numbers is

Two consecutive odd natural numbers, both of which are larger than 10, such that their sum is less than 40, then the numbers are-

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

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. Find the greatest term in the expansion of sqrt(3)(1+1/(sqrt(3)))^(20)...

    Text Solution

    |

  2. Find numerically the greatest term/terms in the expansion of (3-5x)^(1...

    Text Solution

    |

  3. Let n be an odd natural number greater than 1. Then , find the number...

    Text Solution

    |

  4. Find the remainder when 27^(40) is divided by 12.

    Text Solution

    |

  5. In the expansion of (1+x)^n , 7th and 8th terms are equal. Find the ...

    Text Solution

    |

  6. Find the sum sum(j=0)^n( ^(4n+1)Cj+^(4n+1)C(2n-j)) .

    Text Solution

    |

  7. Show that no three consecutive binomial coefficients can be in G.P.

    Text Solution

    |

  8. Find the sum sum(r=1)^n r^n (^nCr)/(^nC(r-1)) .

    Text Solution

    |

  9. Show that 9^(n+1)-8n-9 is divisible by 64, where n is a positive integ...

    Text Solution

    |

  10. If the 3rd, 4th. 5th and sixth term in the expansion of (x+alpha)^n ar...

    Text Solution

    |

  11. Find the remainder when 7^(98) is divided by 5.

    Text Solution

    |

  12. Show that 2^(4n+4)-15n-16, where n in N is divisible by 225.

    Text Solution

    |

  13. If (2+sqrt(3))^n=I+f, where I and n are positive integers and 0lt f lt...

    Text Solution

    |

  14. Find the degree of the polynomial 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^7-...

    Text Solution

    |

  15. If 9^7+7^9 is divisible b 2^n , then find the greatest value of n ,w...

    Text Solution

    |

  16. Prove that sqrt(10)[(sqrt(10)+1)^(100)-(sqrt(10)-1)^(100)] is an even ...

    Text Solution

    |

  17. Find the remainder when x=5^(5^(5^(5...))) (24 times 5) is divided by ...

    Text Solution

    |

  18. Find the remainder when 1690^(2608)+2608^(1690) is divided by 7.

    Text Solution

    |

  19. Find the value of {3^(2003)//28}, w h e r e{dot} denotes the fractiona...

    Text Solution

    |

  20. Find the remainder when 5^(99) is divided by 13.

    Text Solution

    |