Forgot password? New user? Sign up
Existing user? Log in
Let f:N+→Q+f:\mathbb{N}^+ \to \mathbb{Q}^+f:N+→Q+ satisfies f(1)=2016f(1) = 2016f(1)=2016 and ∑i=1nf(i)=n2f(n)\displaystyle \sum_{i=1}^n f(i) = n^2 f(n)i=1∑nf(i)=n2f(n) for n>1n>1n>1.
If the value of f(2016)f(2016)f(2016) can be represented as ab\dfrac {a}{b}ba where aaa and bbb are coprime positive integers, what is the value of a+ba+ba+b?
Problem Loading...
Note Loading...
Set Loading...