Home
Class 12
MATHS
If n is positive integer show that 9^n+7...

If n is positive integer show that `9^n+7` is divisible 8

A

`152`

B

`153`

C

`154`

D

`155`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If n is a positive integer, show that 4^n -3n -1 is divisible by 9

If n is a positive integer, show that: 4^n-3n-1 is divisible by 9

If n is an odd positive integer, show that (n^2-1) is divisible by 8.

If n is an odd positive integer, show that (n^2-1) is divisible by 8.

If n is any positive integer , show that 2^(3n +3) -7n - 8 is divisible by 49 .

If n is a positive integer, then show that 6^(n)-5n-1 is divisible by 25

For every positive integer n, prove that 7^n-3^n is divisible by 4.

If n is a positive integer, prove that 3^(3n)-26n-1 is divisible by 676.

For any positive integer n , prove that n^3-n divisible by 6.

If n is a positive integer then 2^(4n) - 15n - 1 is divisible by

ALLEN-TEST PAPERS-MATHEMATICS
  1. Find a if 17th and 18th terms in the expansion of (2+a)^(50) are eq...

    Text Solution

    |

  2. In the expansion of (x^2+2x+2)^n, n in N (A) coefficient of x=n.2^n ...

    Text Solution

    |

  3. If n is positive integer show that 9^n+7 is divisible 8

    Text Solution

    |

  4. Consider expansion of (1+x)^(200)=a(0)+a(1)x+a(2)x^(2)+………+a(200)x^(20...

    Text Solution

    |

  5. Find the coefficient of x^5 in the expansion of (1+x^2)^5(1+x)^4.

    Text Solution

    |

  6. In the expansion of (5^(1//2)+7^(1//8))^(1024), the number of integral...

    Text Solution

    |

  7. Find underset(r=0) overset(10)sumr^ (10)C(r).3^(r).(-2)^(10-r)

    Text Solution

    |

  8. If f(x) is defined in -1lexle3 in the figure as shown then choose corr...

    Text Solution

    |

  9. If f(x)={(-4sinx+cosx, "for",xle-(pi)/2),(a sin x+b,"for",-(pi)/2ltxlt...

    Text Solution

    |

  10. Which of the following function is continuous everywhere but not diffe...

    Text Solution

    |

  11. If I(x)=int(sinx-cosx)/(|sinx-cosx|)dx, where (pi)/4ltxlt(3pi)/8 and (...

    Text Solution

    |

  12. f:RrarrR,f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f'''(3)" for all "x in R. The...

    Text Solution

    |

  13. If f(x) is derivable at x=3 and f'(3)=2, then value of lim(hto0)(f(3+h...

    Text Solution

    |

  14. If int tan^(5) x dx = A tan^(4)x + B tan^(2) x+ g (x)+C, then

    Text Solution

    |

  15. g:[0,pi]toR is defined as g(x)={("max"{"sin"x,1/2},"where",x epsilon[0...

    Text Solution

    |

  16. g:[0,pi]toR is defined as g(x)={("max"{"sin"x,1/2},"where",x epsilon[0...

    Text Solution

    |

  17. Graph of y=f(x) is shown in the adjacent figure Value of lim(0^(...

    Text Solution

    |

  18. If f(x)=|x-1|+|x-3|,then value of f'(2) is equal to

    Text Solution

    |

  19. if y=(secx+tanx-1)/((-secx)+tanx+1), then find(dy)/(dx) at x=(pi)/(4).

    Text Solution

    |

  20. Let u(x) and v(x) are differentiable function such that (u(x))/(v(x))=...

    Text Solution

    |