- #1
superdog
- 3
- 0
Hi,
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,
anyone care to point me in the right direction?
not really sure what method to use, induction?
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,
Homework Equations
anyone care to point me in the right direction?
The Attempt at a Solution
not really sure what method to use, induction?