A Function `f` is defined for all positive integers and satisfies `f(1)=2005 and f(1)+f(2)+.............+f(n)=n^2f(n)` for all `n > 1.` Find the value of `f(2004).`

f : N -> R be a function satisfying the following conditions: f(1)=1 and f(1)+2.f(2)+3.f(3)+........n.f(n)=n(n+1)f(n) for n>=2 The value of f(1003) is (1)/(K) ,where K equals

Let f : N to R be a function satisfying the following conditions: f(1) =1 and f(1) +2f( 2)+ 3 f(3) + ………n f(n )" " f(n ) = n (n+1) , f(n) "for " n ge 2 The value of f(1003) is (1)/(K) . Where K equals

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

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

If f is a function defined on the set of all non negative integers such that f(0)=1, f(1)=0 f(n)+f(n-1)=nf(n-1) +(n-1) f(n-2) " for "n ge 2 then f(5)=

Let f : N to R be a function satisfying the following conditions: f(1) =1 and f(1) +2f( 2)+ 3 f(3) + ………n f(n )" " f(n ) = n (n+1) , f(n) "for " n ge 2 The value of f(999) is (1)/(K) where K equals

If f(n + 1) = (2f(n) + 1)/2 , n = 1,2,3,....... and f(1) = 2, then find the value of f(101)

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).

If f(n+1)=(2f(n)+1)/(2),n=1,2,3,... and f(1)=2 then find the value of f(101).

A function f is defined such that f(1)=2, f(2)=5, and f(n)=f(n-1)-f(n-2) for all integer values of n greater than 2. What is the value of f(4)?