27th CanMO 1995 Problem 1 Find g(1/1996) + g(2/1996) + g(3/1996) + ... + g(1995/1996) where g(x) = 9 x /(3 + 9 x ).
g(k) + g(1-k) = 1, so the sum is 997 + g(1/2) = 997 1/2. 27th CanMO 1995 © John Scholes jscholes@kalva.demon.co.uk 15 June 2002