Assume that f(1) = 0 and that for all integers m and n, f(m+n) = f(m) + f(n) + 3(4mn-1), then f(19) =

If f(1) = 1 and f(n + 1) = 2 f(n) + 1, if n ge 1, then f(n) 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

f (1) = 1, n> = 1f (n + 1) = 2f (n) +1 then f (n) =

Let f : N rarr N be a function such that f(m + n) = f(m) + f(n) for every m, n in N . If f(6) = 18 , then f(2).f(3) is equal to :

Given f(1)=2 and f(n+1)=(f(n)-1)/(f(n)+1)AA n in N then

If f(x)=[mx^(2)+n,x 1. For what integers m and n does both (lim)_(x rarr1)f(x)

Le the be a real valued functions satisfying f(x+1) + f(x-1) = 2 f(x) for all x, y in R and f(0) = 0 , then for any n in N , f(n) =