X_{1},...X_{n }are a random sample from U(0,theta). A sequence of random variables are defined Z_{n}=n(theta-X_{(n)}) for positive n.

I need to show that Z_{n}converges in distribution to Z, where Z~Exp(theta).

Any help in getting started?

Can I say that X_{(n)}converges in law to theta and is that useful?