Suppose that the sequence {an} satisfies a1 = 0, a2= 1, and  for all n ≥ 3. Use induction...

Suppose that the sequence {an} satisfies a1 = 0, a2= 1, and  for all n ≥ 3. Use induction to prove that  for all n ≥ 1.

In Exercises x1, x2, ..., xn, n ≥ 2, are real numbers satisfying x1<x2 <...< xn, and x is an arbitrary real number.