Home
Class 12
MATHS
Let f be a function from be set of posit...

Let f be a function from be set of positive integers to the set of real numbers i.e. `f: N to R`, such that
`f(1)+2f(2)+3f(3)+……+nf(n)=n(n+1)f(n)` form ge2`, then find the value of f(1994).

Text Solution

Verified by Experts

The correct Answer is:
`1/3968`
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level-I|47 Videos

  • FUNCTION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level-II|20 Videos

  • FUNCTION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) Level-I|24 Videos

  • ELLIPSE

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

  • HEIGHTS & DISTANCE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II|20 Videos

Similar Questions

Explore conceptually related problems

Let f be a function from the set of positive integers to the set of real number such that f(1)=1 and sum_(r=1)^(n)rf(r)=n(n+1)f(n), forall n ge 2 the value of 2126 f(1063) is ………….. .

If (1)=1 and f(1)+2f(2)=3f(3)+......nf(n)=n(n+1)f(n) Then find the value of 49f(49)

Let f : N rarr R be a function such that f(1) + 2f(2) + 3f(3) + ....+nf(n)= n(n+1) f(n) , for n ge 2 and f(1) = 1 then

Let f be a function from the set of all non-negative integers into itself such that f(n + 1) = 6f(n) + 1 and f(0) = 1 , then the value of f(4) – f(3)

Let f:N rarr R be such that f(1)=1 and f(1)+2f(2)+3f(3)+…+nf(n)=n(n+1)f(n), for n ge 2, " then " /(2010f(2010)) is ……….. .

Consider the function f defined on the set of all non-negative interger such that f(0) = 1, f(1) =0 and f(n) + f(n-1) = nf(n-1)+(n-1) f(n-2) for n ge 2 , then f(5) is equal to

Let f(n)=log_(1155)(n^(3)) for all n in N, then find the value of f(7)+f(11)+f(15)

Let f:N rarr R be a function such that (ii) f(1)+2f(2)+3f(3)+.........+nf(n)=n(n+1)f(n)=n(n+1)f(n)AA n>=2 Then find f(2011)

FIITJEE-FUNCTION-ASSIGNMENT PROBLEMS (SUBJECTIVE) Level-II
  1. Let f : {x,y, z} to {a, b, c} be a one-one function. If it is known th...

    Text Solution

    |

  2. Let S be the set of non-negative integers. A function f: S to S is suc...

    Text Solution

    |

  3. Find the range of f(x), where f(x)=cos(sin(In(x^2+e)/(x^2+1)))+sin(cos...

    Text Solution

    |

  4. Consider two functions, f(x) and g(x) defined as under: f(x)={1+x^3,x ...

    Text Solution

    |

  5. If the functions f and g defined from the set of real number R to R su...

    Text Solution

    |

  6. If the functions f, g and h are defined from the set of real numbers R...

    Text Solution

    |

  7. Let f(x)=2cos^2x+sqrt(3)*sin2x+1. Then, its domain and range, so that ...

    Text Solution

    |

  8. Let f: XtoY be a function defined by f(x) =asin(x+(pi)/4) + bcosx + c....

    Text Solution

    |

  9. Solve x^2-4-[x]=0 (where [] denotes the greatest integer function).

    Text Solution

    |

  10. Solve the following equations x^(2)-3-{x}=0 where [x] denotes the ...

    Text Solution

    |

  11. Consider a real-valued function f(x) satisfying 2f(x y)=(f(x))^y+(f(y)...

    Text Solution

    |

  12. If f(x) satisfies the relation, f(x+y)=f(x)+f(y) for all x,y in R and ...

    Text Solution

    |

  13. Let f be a function from be set of positive integers to the set of rea...

    Text Solution

    |

  14. Let f be a function from be set of positive integers to the set of rea...

    Text Solution

    |

  15. If the range of the function f(x)=(x-1)/(p-x^2+1) does not contain any...

    Text Solution

    |

  16. Let f :[1/2,oo)rarr[3/4,oo), where f(x)=x^2-x+1. Find the inverse of f...

    Text Solution

    |

  17. Let f(x) be a function such that : f(x - 1) + f(x + 1) = sqrt3 f(x), f...

    Text Solution

    |