Home
Class 12
MATHS
If f(x) is a function satisfying f(x+y) ...

If f(x) is a function satisfying `f(x+y) = f(x) f(y)` for all x,y`in N` such that `f(1) = 3` and `sum_(x=1)^(n) f(x) = 120`
Then the value of n is `:`

A

4

B

5

C

6

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a function satisfying f(x+y) = f(x) f(y) for all x,y in N such that f(1) = 3 and sum_(x=1)^(n) f(x) = 120 . Then the vlaue of n is :

f(xy)=f(x)+f(y) is true for all

Let f be a function satisfying f(x+y)=f(x) + f(y) for all x,y in R . If f (1)= k then f(n), n in N is equal to

If f:RtoR satisfies f(x+y)=f(x)+f(y) for all x,yinRandf(1)=7 , then sum_(r=1)^(n)f(r) is :

If f(x) is a ploynomial function satisfying f(x) . f(1/x) = f(x) + f(1/x) and f(3)=28, then f(2) is

There exists a function f(x) satisfying f(0)=1, f'(0)=-1, f(x) gt 0 , for all x, then :

Let f(x) be a function satisfying f'(x) = f(x) with f(0) = 1 and g(x) be a function that satisfies f(x) + g(x) = x^2 . Then the value of the integral int_0^1 f(x) g (x) dx is :

The f(x) is such that f(x+y) = f(x) + f(y) , for all reals x and y xx then f(0) =

If f(x+y) = 2f(x) f(y) for all x,y where f^(')(0) = 3 and f(4) =2, then f^(')(4) is equal to

HIMALAYA PUBLICATION-PROGRESSIONS-QUESTION BANK
  1. Let two numbers have arithmetic mean 9 and geometric mean 4. Then thes...

    Text Solution

    |

  2. A person is to count 4500 currency notes. Let a(n) denote the number o...

    Text Solution

    |

  3. If f(x) is a function satisfying f(x+y) = f(x) f(y) for all x,yin N su...

    Text Solution

    |

  4. Let a^(n) be the nth term of the G.P. of positive numbers. Let sum(n=1...

    Text Solution

    |

  5. Let n ( gt 1 ) be a positive integer, the largest integer m such that ...

    Text Solution

    |

  6. If the fourth power of the common difference of an A.P with integer en...

    Text Solution

    |

  7. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  8. If the sum of the first 2n terms of the A.P. 2,5,8,"……….." is equal to...

    Text Solution

    |

  9. An infinite G.P. has first term 'x' and sum '5' , then x belongs to :

    Text Solution

    |

  10. If (a^(n)+b^(n))/(a^(n-1)+b^(n-1)) is an G.M between a and b then the ...

    Text Solution

    |

  11. If the sum of first n terms of an A.P. is cn^(2) , then the sum of squ...

    Text Solution

    |

  12. If (a+b)/(1-a b), b, (b+c)/(1-b c) are in A.P, then a, (1)/(b), c are ...

    Text Solution

    |

  13. If A(1), A(2) be two A.M's and G(1), G(2) be two G.M's between a and b...

    Text Solution

    |

  14. The sum pf 'n' terms of two arithmentic progressions are in the ratio ...

    Text Solution

    |

  15. If x=1+y+y^(2)+.. . to oo, then y is

    Text Solution

    |

  16. If A=1+r^(a)+r^(2 a)+r^(3 a)+.. . to oo and lebrge B=1+r^(b)+r^(2 b)+....

    Text Solution

    |

  17. The determinant : |(a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,...

    Text Solution

    |

  18. If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and d...

    Text Solution

    |

  19. Every element of a G.P is positive and also every element is the sum o...

    Text Solution

    |

  20. If x gt 1 , y gt 1 , z gt 1 are in G.P. , then (1)/(1 + log x) , (1)/(...

    Text Solution

    |