Home
Class 11
MATHS
If 3^(2n+2)-8n-9 is divisible by 'k' for...

If `3^(2n+2)-8n-9` is divisible by 'k' for all `n in N` is true, then which one of the following is a value of 'k'?a)8 b)6 c)3 d)12

A

8

B

6

C

3

D

12

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|98 Videos
  • QUESTION PAPER MARCH 19

    MAXIMUM PUBLICATION|Exercise EXAMPLE|44 Videos

Similar Questions

Explore conceptually related problems

Show that 9^(n+1)-8n-9 is divisible by 64.

Given P(n):3^(2n) -1 is divisible by 8 Check whether P(1) is true.

If x^(2)+2x+ngt10 for all real number x , then which of the following conditions is true ? a) nlt11 b) n=10 c) n=11 d) ngt11

Given P(n):3^(2n) -1 is divisible by 8. If P(k) is true then prove P(k+1) is true.

(b) P(n):7^n-3^n is divisible by 4,then find P(2) .

(a)Prove that 3^(2n)-1 is divisible by 8.

If 9^(7)-7^(9) is divisible by 2^(n) , then find the greatest value of n, where n in N .

Consider the statement P(n)=3^(2n+2)-8n-9 is divisible by 8 Prove the statement using the principle of mathematical induction for all natural numbers.

10^(n) +3(4^(n+2) )+5 is divisible by (n in N): a)7 b)5 c)9 d)17

(a) P(n):n(n+1)(n+2) is divisible by 6,then find P(3) .

MAXIMUM PUBLICATION-QUESTION PAPER MARCH 18-EXAMPLE
  1. Consider the Venn diagram of the Universal set U={1,2,3,4,5,6,7,8,9,...

    Text Solution

    |

  2. The figure shows the graph of a function f(x) which is a semi circle...

    Text Solution

    |

  3. If 3^(2n+2)-8n-9 is divisible by 'k' for all n in N is true, then whic...

    Text Solution

    |

  4. Prove by using the principal of Mathematical Induction P(n)=1+3+3^2+…....

    Text Solution

    |

  5. Solve the inequality (2x-1)/3ge(3x-2)/4-(2-x)/5

    Text Solution

    |

  6. Solve the inequality (2x-1)/3ge(3x-2)/4-(2-x)/5 Represent the soluti...

    Text Solution

    |

  7. Find the n^(th) term of the sequence 3,5,7,………

    Text Solution

    |

  8. Find the sum to n terms of the series 3xx1^2+5xx2^2+7xx3^2+……..

    Text Solution

    |

  9. Find the equation of the circle passing through the points (4,1) and (...

    Text Solution

    |

  10. Consider a point A(4,8,10) in space Find the distance of the point A...

    Text Solution

    |

  11. Consider a point A(4,8,10) in space Find the distance of the point A...

    Text Solution

    |

  12. Consider a point A(4,8,10) in space.Find the ratio in which the line s...

    Text Solution

    |

  13. Which one of the following sentences is a statement? A) 275 is a perfe...

    Text Solution

    |

  14. Verify by method of contradiction p:sqrt2 is irrational.

    Text Solution

    |

  15. Consider the quadratic equation x^2+x+1=0 Solve the quadratic equa...

    Text Solution

    |

  16. Consider the quadratic equation x^2+x+1=0.Write the polar form of one...

    Text Solution

    |

  17. Consider the quadratic equation x^2+x+1=0.If the two roots of the give...

    Text Solution

    |

  18. Which of the following has its middle term independent of x?

    Text Solution

    |

  19. Write the expansion of (x^2+3/x)^4

    Text Solution

    |

  20. Determine whether the expansion of (x^2+2/x)^18 will contain a term co...

    Text Solution

    |