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**1. Homework Statement**

Just having some troubles with a proof i have been asked to do, (sorry for not knowing the math code)

basically, f(1)=0, f(2)=1/3 and f(n)= ((n-1)/(n+1))*f(n-2)

and i've come up with the conjecture that f(n) = 0 when n is odd, and = 1/(n+1) when n is even.

and i have to prove my conjecture, this is where i'm stuck,

**2. Homework Equations**

anyone care to point me in the right direction?

**3. The Attempt at a Solution**

not really sure what method to use, induction?