The function f(n) satisfies binom(2n)n - binom(2n + 1)(2n) = f(n) *binom(2n + 1)(n + 1) for all positive integers n. Find f(n).
So if you plug in 1 as n, since it can be any positive integer, it simplifies to:
1=f(1)(2)
Which comes out to 1/2.
Hope this helps!