IMO 2016 Shortlist A8
Determine the largest real number a such that for all n ⩾ 1 and for all real numbers x0,x1,...,xn satisfying 0 = x0 < x1...
Category: Algebra
Problem
Determine the largest real number a such that for all n ⩾ 1 and for all real numbers x0,x1,...,xn satisfying 0 = x0 < x1 < x2 < ··· < xn, we have x1 − x0 + x2 − x1
- ··· + xn − xn−1 ⩾ a Ç x1
x2
- ··· + n + 1 xn å . Shortlisted problems 5