Home
Class 12
MATHS
Let f(x) be a function satisfying f(x+y)...

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 `:`

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

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS|11 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos
  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos
  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

Similar Questions

Explore conceptually related problems

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 :

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

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

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 :

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 :

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

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

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

Let f(x+y) = f(x).f(y), forall, x, y . Suppose f(5) =2, f^(')(0) = 3 then f^(')(5) =

MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
  1. If p,q,r are in A.P. and are positive, the roots of the quadratic equa...

    Text Solution

    |

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

    Text Solution

    |

  3. Let f(x) be a function satisfying f(x+y) = f(x) f(y) for all x,y in N ...

    Text Solution

    |

  4. For any odd integer n ge1, n^(3) - ( n - 1)^(3) + "….." + ( -1)^(n-1)1...

    Text Solution

    |

  5. The sum to infinity of the series : 1+2 ( 1-(1)/( n )) + 3( 1 - ( 1)...

    Text Solution

    |

  6. If a,b,c are digits, then the rational number represented by 0.c ab ab...

    Text Solution

    |

  7. If I(n) = int(0)^(n) ( 1- sin 2nx)/( 1-cos 2n)dx then I(1) , I(2) , I(...

    Text Solution

    |

  8. If p,q,r , three positive real numbers are in A.P., then the roots of ...

    Text Solution

    |

  9. If a(1),a(2) , a(3),"……..",a(n) are in H.P. , then : (a(1))/( a(2) ...

    Text Solution

    |

  10. The value of sum(r=1)^(n) log ((a^(r ))/( b^(r-1))) is :

    Text Solution

    |

  11. If a(1) , a(2),"………",a(n) are n non-zero real numbers such that ( a(1)...

    Text Solution

    |

  12. The sum of n terms of the series : (1)/( 1.2.3.4) + ( 1)/( 2.3.4.5) ...

    Text Solution

    |

  13. If sum(r=1)^(prop) t(r ) = ( n (n +1) ( n + 2) ( n + 3))/( 8 ) , wher...

    Text Solution

    |

  14. sum(i=1)^(n) sum(j=1)^(i)sum(k=1)^(j) 1 equals :

    Text Solution

    |

  15. If log(x)a,a^(x//2) and log(b)x are in G.P., then x equals :

    Text Solution

    |

  16. If x,y,z are in A.P. and tan^(-1)x , tan^(-1)y and tan^(-1) z are als...

    Text Solution

    |

  17. If P,Q,R be the A.M., G.M., H.M. respectively between any two rational...

    Text Solution

    |

  18. Let S = ( 8 ) /( 5) + ( 16)/( 65) +"...." + ( 128)/( 2^(18) + 1) , th...

    Text Solution

    |

  19. The sides a,b,c of Delta ABC are in G.P. , where log a - log 2b, log ...

    Text Solution

    |

  20. Let alpha, beta be the roots of x^(2) -x + p = 0 and gamma , delta b...

    Text Solution

    |