I will thank whoever gets this right Let f be a function from Z+ to Z+ where Z+ is the set of positive integers, such that f satisfies these two conditions: (1)
Mathematics
erjalinalii
Question
I will thank whoever gets this right
Let f be a function from Z+ to Z+ where Z+ is the set of positive integers, such that f satisfies these two conditions:
(1) f(n+1) > f(n); that is, f is strictly increasing
And
(2) f(n+f(m)) = f(n)+m+1
Find all values of f (2003)
Let f be a function from Z+ to Z+ where Z+ is the set of positive integers, such that f satisfies these two conditions:
(1) f(n+1) > f(n); that is, f is strictly increasing
And
(2) f(n+f(m)) = f(n)+m+1
Find all values of f (2003)
1 Answer

1. User Answers Anonym
F is increasing, there are no jumps: if there's a jump from an a to a b
then one of the endpoints would be a limit point of F(S)