Home
Class 11
MATHS
The value of natural number 'a' for whic...

The value of natural number 'a' for which `sum_(k=1)^(n)f(a+k)=16(2^(n)-1)`, where the function satisfies the relation `f(x+y)=f(x).f(y)` for all natural numbers x, y and further `f(1)=2` is

A

3

B

4

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise ALGEBRA OF MATRICES|24 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise DETERMINANTS|33 Videos

  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

Similar Questions

Explore conceptually related problems

If f(x) satisfies the relation f(x+ y) = f ( x) + f( y ) for all x, y in R and f(1) = 5 then

If the functions f satisfies the relation f(x+ y ) +f( x-y) = 2f ( x) f(y) AA x, yin R and f (0) ne 0 , then

Let f be a function such that f(xy)=(f(x))/y for all positive real numbers x, y. If f(20) = 15, then f(50) =

If satisfies the relation f(x+y)+f(x-y)=2 " " f(x).f(y) AA x , y in R and f(0) != 0 , then f(10)-f(-10)=

y = f(x) , Where f satisfies the relation f(x + y) = 2f(x) + xf(y) + ysqrt(f(x)) AA x, y in R and f'(0) = 0 . Then f(6) is equal to ………

Let f be a non zero continuous function satisfying f(x+y)=f(x) f(y) for all x, y in R . If f(2)=9 then f(3) is

The function 'f' satisfies the functional equation 3f(x)+2f((x+59)/(x-1))=10x+30 for all real x != 1 , then the value of f(7) is

The number of linear functions of f satisfying f(x+f(x))=x+f(x) for all x in R is

AAKASH SERIES-APPENDICES (REVISION EXERCISE)-MULTIPLE PRODUCT OF TWO VECTORS
  1. The value of natural number 'a' for which sum(k=1)^(n)f(a+k)=16(2^(n)-...

    Text Solution

    |

  2. If veca, vecb, vecc are three coplanar vectors, barp, barq, barr are n...

    Text Solution

    |

  3. If veca, vecb, vecc are three coplanar vectors, barp, barq, barr are n...

    Text Solution

    |

  4. If bara=3bari+2barj+bark,barb=bari+barj+2bark and barc=bari+3barj+3bar...

    Text Solution

    |

  5. Let G(1),G(2),G(3) be the centroids of the triangular faces OBC, OCA, ...

    Text Solution

    |

  6. bara,barb,barc are non coplanar and bard=x(bara xx barb) +y(barb xx ba...

    Text Solution

    |

  7. barb and barc are non collinear vectors. bara is a vector such that b...

    Text Solution

    |

  8. Let bara=bari+2hatj+3hatk, barb= -bari+2hatj+3bark, barc=3hati+hatj an...

    Text Solution

    |

  9. If bara, barb, barc are three vectors of magnitudes sqrt(3), 1, 2 such...

    Text Solution

    |

  10. The angle between the line barr=(2bari-barj+bark)+lambda(bari-barj+bar...

    Text Solution

    |

  11. If barb, barc are two unit vectors along the positive x, y axes, and b...

    Text Solution

    |

  12. If x(bara xx barb) +y(barb xx barc)+z(barc xx bara)=barr and [(bara, b...

    Text Solution

    |

  13. If A=(1, -2, -1), B= (4, 0, -3), C = (1, 2, -1), D=(2, -4, -5), then d...

    Text Solution

    |

  14. A tetrahedron of volume V = 5 has three of its vertices at the points ...

    Text Solution

    |

  15. If bara, barb, barc are three vectors such that |barb|=|barc| then {(...

    Text Solution

    |

  16. Angle between the line barr = (-bari+3barj+3bark)+t(2bari+3barj+6bark)...

    Text Solution

    |

  17. If 4x + i(3x-y) =3+ i(-6), where x and y are real numbers, then find t...

    Text Solution

    |

  18. If bara=(1)/(sqrt(10)) (3bari+bark) and barb=(1)/(7)(2bari+3barj-6bar...

    Text Solution

    |

  19. The vectors veca and barb are not perpendicular and barc and bard are ...

    Text Solution

    |

  20. If vecx=3hati-6hatj-hatk, vecy=hati+4hatj-3hatk and vecz=3hati-4hatj-1...

    Text Solution

    |

  21. Let veca = 2 hati+hatj-2hatk, vecb=hati+hatj. If vecc is a vector suc...

    Text Solution

    |